







Finding the area of a regular polygon 
20070504 

From Dana: We are trying to figure the square footage of a tetradecagon....sort of a round house with 14 sides that are 8 ft' in length. It has a height of 9 ft. How do we figure the square footage of this? Answered by Stephen La Rocque. 





Constructing a hexagonal pyramid 
20190425 

From REBECCA: I'm doing a project for my Honors Geometry class and I have to build a regular hexagonal pyramid. I was given the volume of .75 gallons, but I don't know how to figure everything else out. Please help?
Thanks,
Rebecca Answered by Harley Weston. 





7 spheres on a hexagonal tray 
20190114 

From herm: what is the length of each side of a hexagonal tray, with the height of each side 0.75 inch, to hold seven spheres, each with a diameter of 3.00 inches? The spheres are placed such that each side of the hexagon is touched by one sphere at its midpoint (and the seventh sphere is place in the center of the "ring" of the other six spheres. Answered by Harley Weston. 





The surface area of a hexagonal pyramid 
20170616 

From Emilie: Hello, I need help with this question:
A pyramid has a regular hexagonal base with side lengths of 4 and a slant height of 6. Find the total area of the pyramid.
Thank you in advance if you can help me... Answered by Penny Nom. 





Building a hexagon enclosure 
20170226 

From Kenneth: Hello, I have a question for you. I have a special needs daughter and I want to install a ceiling fan into her room. The fan is 42 inches in diameter. I would like to build a wooden hexagon enclosure to protect the fan. I would like the enclosure to be at least 2 inches wider than the fan on each side measuring from flat surface across to flat surface. How do I figure out the length of each panel so that I can miter them and assemble it? Thank you for your time. Answered by Penny Nom. 





The volume of a hexagonal pyramid 
20161021 

From Elizabeth: Find the height of a hexagonal pyramid with a volume of 1320 ft ^3. The area of the base is 120 ft^2. Answered by Penny Nom. 





Hexagonal pyramid bevel angles 
20160930 

From Peter: I have seen your response to a similar question from Steve which Chris and Harley responded to, however I am not familiar with some of the terms. Is there a formula that I can enter my details in which will give me the specific angles I require. The item I am constructing is much larger than the one you responded to previously. Thank you for any assistance you are able to provide. Answered by Penny Nom. 





The volume of a box with a hexagonal base 
20160327 

From Frank: how many gallons of water in an 8" hexagon shaped box. 6" sides x 12.5" high ? The walls are 1" thick , beveled @ 30 degrees, so inside dimensions are 6" Answered by Penny Nom. 





A circle is inscribed in a hexagon 
20151228 

From Lalitesh: A circle is inscribed in a regular hexagon ABCDEF
Prove that AB+CD+EF=BC+DE+FA Answered by Penny Nom. 





Cutting a hexagon with a sliding miter saw 
20141123 

From Joseph: I need the angles in degrees for a hexagon one side is 18inches on the outside the problem I am having is in the angle of the cut and I am using a sliding miter saw which only goes from0 degrees to 45 degrees so I need help in getting the angle of the cut Answered by Harley Weston. 





6 bolt holes around a circle 
20141026 

From Bobby: What Is The Cord Dimension For 6 Holes On A 24" Bolt Circule Answered by Penny Nom. 





The volume of hexagonal pyramid and hexagonal prism 
20140518 

From visshwam: how to find volume of hexagonal pyramid and hexagonal prism?
my measurements are each side of pyramid's triangle is 1"x2"x2".
hexagon prism is 2"x1" each side Answered by Penny Nom. 





A hexagon with different side lengths 
20140516 

From Grace: Sorry if this is a simple question, but I can't seem to understand how to solve it. I am Trying to find the area of a hexagon with measurements 6x7x6x6x7x6, or 2 sets of opposing sides with 6, and one set with 7. Thank you. Answered by Penny Nom. 





Cutting a hexagon from a disk 
20140405 

From Paul: I am a machinist and sometimes need to make a hex from
round material.
If I know the distance of the flat sides opposite one another
of my hex, how can I calculate the size of material I need to turn
to give me the right diameter to finish the part with six sides? Answered by Penny Nom. 





An equilateral triangle and a regular hexagon in a circle 
20120911 

From Heidemarie: The vertices of an equilateral triangle with side length of 10 sqrt 3 cm lie on a circle. Find the side length of the regular hexagon whose vertices lie on the same circle. Answered by Penny Nom. 





A regular hexagon inscribed in a circle 
20120725 

From jim: A regular hexagon with an area of 24√3 is inscribed in a circle. What is the area of the circle? Answered by Penny Nom. 





A pyramid on a regular hexagon 
20120414 

From deepak: There is pyramid on a base which is a regular hexagon of side 2a cm.
If every slant edge of this pyramid
is of length 5a/2 cm, than what will be the volume of this pyramid Answered by Penny Nom. 





The area of an irregular hexagon 
20120320 

From Jacob: I am having trouble finding the area of an irregular hexagon with 5 right angles.
It has 5 given sides, with the lengths as follows:
8.2 ft.
6 ft.
4.5 ft.
2.2 ft.
6 and one third ft. Answered by Chris Fisher. 





A mythical soccer ball 
20111027 

From Joel: We've been working on this problem diligently and can't seem to come up with the answer book's answer. We think it may be wrong, yet want to check it with an expert. Here goes.
The school's new soccer balls are covered with 64 regular hexagonal panels. Each hexagon measures 2 inches between opposite corners and 1.5 inches between opposite sides. What is the total surface area of the soccer ball? Answered by Robert Dawson and Lorraine Dame. 





The volume of a hexagonal prism 
20110919 

From Denise: I am being asked to find the volume of a hexagonal prism, base edges are 3cm, and a height of 15cm. The book that I am working from says that the answer is 77.94cm(cubed) but no matter what the equation I use I always get the answer 116.9/117. Please help! Thank you! Answered by Penny Nom. 





A regular hexagon inscribed in a circle 
20110718 

From Courtney: If ABCDEF is a regular hexagon inscribed in a circle of
radius r, prove that the length of each side of the hexagon
equals r. Answered by Penny Nom. 





An irregular hexagon 
20110209 

From Emma: Hello,
I have math question about how to find the area of an irregular hexagon.
It is shaped like a backwards L and the side lengths are as follows
11cm
8cm
5cm
5cm
6 cm
3cm
Can you please help me find the area of this?
Emma Answered by Penny Nom. 





The area of a hexagon 
20100728 

From Katie: Hi i have to find the area of a hexagon with only the side length 2cm given
would you be able t help? Answered by Walter Whiteley. 





A regular hexagon and an equilateral triangle in a circle 
20100405 

From Beth: A regular hexagon and an equilateral triangle are both inscribed in the same circle so that the hexagon and the triangle share three vertices. The radius of the circle is 10cm. What is the difference between the area of the hexagon and the area of the triangle? Answered by Chris Fisher. 





The area of a hexagon 
20100323 

From Myya: What is the area of a hexagon with the radius of 10ft. Answered by Penny Nom. 





The volume of a frusta of a hexagonal based pyramid 
20100304 

From sarah: Volume of a frusta of a hexagonal based pyramid Answered by Penny Nom. 





The area of a hexagon 
20100201 

From Vicki: I need to find out the area of a hexagon (please explain thoroughly; I'm not the best at math) and why/how that particular formula works.
Also, it would be nice if there was an example question with a series of steps (as in not just finding the area and being given the information to do so) that involved both the perimeter and area of a hexagon. Answered by Robert Dawson and Harley Weston. 





A problem in a hexagon 
20091107 

From WIlliam: I have a regular hexagon and all sides are 8 cm. I need to find the line segment
point a to point b. Point B is on the top left of the hexagon and the Point A is on the
middle right side, I know the line pass through 2 Equilateral triangles, I'm just not
sure how to do the equation.
Also how would you measure a line that goes right in the middle from one end to
the other Answered by Harley Weston. 





An area problem 
20090830 

From Amber: Area of hexagon ABCDEF with the vertices (3,0) (7,0) (9,2) (7,4) (3,4) (1,0) Answered by Harley Weston. 





A hexagon inside a triangle 
20090503 

From Brian: How do you figure out the area of an equilateral triangle with only the clue of a regular hexagon perfectly inside it (no boarders) and the only thing you know about the hexagon is it has an area of 12cm^2? Answered by Stephen La Rocque. 





Two regular hexagons 
20090421 

From niko: Two regular hexagons are ____________ similar. Answered by Stephen La Rocque. 





A polyhedron 
20090310 

From Mollie: Hi, my name is Mollie and I'm in 5th grade. Here's the math problem I have for homework tonight:
"Larissa made a model of a polyhedron using 8 pieces of clay for the vertices and 18 straws for the edges. What type of
polyhedron did Larissa make?"
Thanks. Answered by Penny Nom. 





A regular hexagon is inscribed in a circle. 
20090126 

From Thejas: A regular hexagon is inscribed in a circle. If the perimeter of the hexagon is 42 inches, how many inches are in the circumference of the circle?
How do you express this in the terms of pi? Answered by Robert Dawson and Penny Nom. 





A sphere and hexagons 
20081019 

From Angela: A sphere is made of 112 hexagons. Each side measures 10 cm. The width of the border between each hexagon is 5 cm. What is the radius of the sphere? Answered by Chris Fisher and Walter Whiteley. 





A hexagon has 3 parallelograms 
20080721 

From Stephanie: A hexagon has 3 parallelograms but I am unsure of how to cut a hexagon into 3 parallelograms. Can you show me what this would look like? Answered by Harley Weston. 





A six pointed star 
20080619 

From Bree: Triangles ABC and DEF are equilateral triangles with the same side length of 12cm. The polygon at the centre of the star is a regular hexagon. What is the area of the hexagon? Justify your response.
The triangles are in a shape of a six pointed star with the hexagon in the middle. Answered by Penny Nom. 





The volume of a hexagonal pyramid 
20080605 

From Angie: My son is working on a hexagonal pyramid. The base is 4 and the slant height is 6. We know that the answer is 48 times the sqrt of 2. We don't know how they got it. We attached the drawing of it. Answered by Penny Nom. 





A regular hexagon 
20080520 

From Martin: Given a regular hexagon with center on the origin of an xy plane with coordinate (r,0) on the x axis, we are to express the coordinates of "A" located at 120 deg from (r,0) in terms of "r". Answered by Janice Cotcher. 





The area of a regular hexagonal pyramid 
20080510 

From Kim: i need help finding the area of a regular hexagonal pyramid. Answered by Penny Nom. 





A 6 pointed star 
20080304 

From Siddharth: When 2 congruent equilateral triangles share a common center, their union can be a star
If their overlap is a regular hexagon with an area of 60, what is the area of one of the original equilateral triangles?
a) 60 b) 70 c) 80 d)90 e)100 Answered by Stephen La Rocque. 





The area of a hexagon 
20071129 

From Kay: I need to find the area of a hexagon where each side is 400 ft. I also have to find how many acres that is. Answered by Penny Nom. 





I need to rebuild a wagon wheel 
20071026 

From Pat: I need to rebuild a wagon wheel, the metal wheel rim is 41" diameter, inside the rim is a one and a half inch by one and a half inch wood wheel.
I thought I would glue up a hexagon from a 2x6 or 2x8 piece of wood and then draw and cut out the 41" diameter wood circle.
? what would work better the 2x6 or the 2x8 and what is the lenghth of the cuts needed in order to give me the 41' diameter I need. Answered by Harley Weston. 





Hexagon inscribed in a circle 
20071026 

From VIVEK: what are the properties of a regular hexagon inscribed in a circle.
If the radius of the circle is given then how to find the side of the regular hexagon Answered by Stephen La Rocque. 





Area and side length of a hexagonal tent 
20071009 

From Mark: Trying to buy a tent with 6 sides, in the catalog they give me sq. ft., what is the distance from side to side of a hexagonal tent with an area of 90 sq. ft. Answered by Stephen La Rocque. 





The volume of a hexagonal pyramid 
20070805 

From monica: what is the volume of a hexagon when the base of one triangle is 6cm and has the height of 5.1cm the height of the regular hexagonal pyramid is 18cm? Answered by Penny Nom. 





An irregular hexagon 
20070703 

From Rebecca: I need to find the shape of an irregular hexagon, but only have the lengths four of the sides.
It actually looks like a rectangle with a trapezoid on top of it.
The bottom of the rectangle is 150'. The sides are 75'. The length of the top is 130'. I do not have the lengths
of the two smaller sides.
Is there any way to find the area of this shape? Answered by Penny Nom. 





Isoperimetric area comparison 
20070617 

From michael: An equilateral triangle and a regular hexagon have equal perimeters. If the area of the triangle 10, what is the area of the hexagon? Answered by Stephen La Rocque. 





Drawing a regular hexagon 
20070615 

From Brady: I'm having troubles drawing a regular hexagon. i know that each angle is 120 degrees but when i do that the length aren't perfect...is there a trick or an easier way of doing this task? thnx. Answered by Walter Whiteley. 





Area of a hexagon (three ways to find it) 
20070524 

From Josh: I have to work out the area of a hexagon when I know that the perimeter
of it is 1000m. I have tried many different ways but I get different
answers. Answered by Stephen La Rocque. 





Hexagonal pyramids 
20070517 

From Tracey: How many faces, edges, and vertices does a hexagonal pyramid have? Answered by Stephen La Rocque. 





The area of a hexagon 
20070426 

From Amber: could you explain how to find the area of a hexagon? Answered by Stephen La Rocque. 





The vertices of a hexagonal pyramid 
20070426 

From Madeline: How many vertices does a hexagonal pyramid have?? Answered by Penny Nom. 





The area of a regular hexagon 
20070414 

From Chantel: Could you please explain to me why the formula for a regular hexagon is
3√3/2 multiplied by side²? Thank you very much. Answered by Stephen La Rocque. 





A wooden hexagonal pyramid 
20070412 

From David: Im trying to form a hexagonal pyramid out of plywood and need to know the height to the center point of the pyramid. I want to use standard 4x8 sheets of plywood and split them diagonally. Then with the resulting triangles combine them to form one triangle. Then i want to accumulate 6 of these triangle total and put together to form a hexagonal pyramid. Answered by Stephen La Rocque. 





A hexagon with an area of 36 
20070324 

From shell: the formula for a hexagon with the area of 36 or close to that Answered by Stephen La Rocque. 





A hexagonal prism 
20070320 

From makiya: i need help trying to find the surface area and the volume of a hexigon that has an edgde length of 6cm and a hieght of 12 cm
i allready know how do do this by breaking it into triangles and finging the surface area and the volume that way i just need to know how to find a faster formuly that aplies to just hexigons thanks makiya Answered by Penny Nom. 





The height of a hexagonal pyramid 
20070307 

From Carol: i have been set a question that gives a regular hexagon and each of the sloping sides is 6cm from a corner of a base to the apex(point). it also has 2cm sides it looks sort of like this: /\6cm 2cm Answered by Penny Nom. 





The length of the side of a hexagon 
20070219 

From Nick: if the area of a regular hexagon is 259.807 how do i find the length of each side, and the apothem? thanks if you can help Answered by Penny Nom. 





A concrete slab in the shape of a regular hexagon 
20070219 

From Mandy: Hi, We are laying a concrete slab in the shape of a regular hexagon with each side being 2m long. The slab will be 10cm thick. How much concrete will we need? Thank you ever so much! Mandy Answered by Penny Nom. 





The surface area of a hexagonal prism 
20070219 

From Cari: How do you find the surface area of a hexagonal prism? Thank you. Answered by Penny Nom. 





How many diagonals does a hexagon have? 
20070203 

From Marsha: How many diagonals does a hexagon have? Answered by Stephen La Rocque. 





The area of a hexagon 
20061204 

From Scott: can you tell me the formula to find the area of a hexagon? Answered by Stephen La Rocque. 





Creating a triangle in a circle 
20061128 

From Dirk: My daughter has a school project where she must draw a circle and then draw an equilateral triangle inside the circle. She said you have to identify six points on the circle to correctly draw the triangle. How do you accomplish this? Answered by Penny Nom. 





The area of an irregular hexagon 
20061030 

From Ashish: I want to find out area of an irregular HEXAGON in square feet, whose sides are as follows, Answered by Stephen La Rocque. 





A hexagonal concrete form 
20060909 

From Lewis: How many cubic yards of cement will be required to fill a hexagonal concrete form with equal 12 foot sides that will be 3 feet thick? Answered by Penny Nom. 





How many nickels would it take to fill a room? 
20060822 

From Diana: How many nickels would it take to fill a room that measures 20 feet x 20 feet x 10 feet? Answered by Stephen La Rocque. 





The capacity of our hexagon fish tank 
20060726 

From Doug and Andrea: My name is Andrea and my son, Doug, and I were wondering what the capacity of our hexagon fish tank was but it’s been so long since I’ve been to school that I’ve forgotten the formula to do so. Would you please help us? The dimensions are: 27 ¾ W x 24L x 29H or one side (glass panel) is 14W x 29H. Answered by Penny Nom. 





How to find length of sides of hexagon shaped object? 
20060528 

From Billie: How to find length of sides of hexagon shaped object? Answered by Harley Weston. 





The sides of a hexagon 
20060524 

From Emilio: I need to find the measure of the sides of the hexagon that the area is 58 square units. Answered by Stephen La Rocque. 





The area of a regular hexagon 
20060410 

From A student: find the area of a regular hexagon with a apothem of 9 Answered by Stephen La Rocque. 





An equilateral triangle and a regular hexagon 
20060228 

From Trevor: An equilateral triangle and a regular hexagon have equal length perimeters. What is the ratio of their areas? Answered by Penny Nom and Stephen La Rocque. 





The area of a hexagon 
20060221 

From Cameron: I am a student and need to know how to find the area of a hexagon that has 6 equal sides of 18". Answered by Stephen La Rocque. 





The angles in a hexagon 
20060122 

From Linda: My problem is in relation to wood and making a six sided object from it. On my saw, there is a place to set the angle to which you wish to cut. I cannot for the life of me, figure this out. I am starting with a piece of plywood (1/4" x 6" x 18") and need to know what the angle degree would be to make each of the sides match perfectly to form a hexagon. Trial and error just is not working. Can someone help me? Answered by Penny Nom. 





Shapes 
20051112 

From Tonya and Hailey: MY THIRD GRADERS TEACHER HAS SENT HOME HOMEWORK ASKING FOR THEM TO FIND REALWORLD OBJECT IN MANY DIFFERENTS SHAPES A FEW HAVE US STUMPED Answered by Penny Nom. 





The area of a hexagon 
20051023 

From Bhavin: i have a radius of hexagon given as 1.5 km. and i want to find the area of that hexagon. Answered by Penny Nom. 





A 6ft hexagon around a tree 
20050920 

From Ray: I am trying to build a 6ft hexagon around a tree in my front yard. I have asked everyone how do I figure the size of each side. I now have several calculations and many theories but still do not know how much lumber and at what angel to cut and what length. I am simply a senior citizen just trying to create something different in my yard. Answered by Harley Weston. 





Constructing figures 
20050920 

From Kim: I would like to know how to draw different shapes:
Regular Octagon with sides of length, 1 unit
Equilateral Triangles, with sides of length 1 unit
Regular Hexagons, with sides of length 1 unit
Isoseles Triangles, with hypotenuse of length 1 unit
Answered by Penny Nom. 





The diagonals of a hexagon 
20050815 

From Brittany: are all of diagonals in a hexagon has same length Answered by Penny Nom. 





A melting ice sphere 
20050709 

From A student: A 2 meter diameter sphere of ice melts at 1.5 millimeters per minute. How many minutes will it take to fill up a hexagonal container measuring 1.5 meters on a side, and 0.8 meters deep? Answered by Penny Nom. 





Two problems 
20050429 

From Sara:
#1 A boat is traveling in a straight line across a river from point D, directly opposite town P, to a point Q, two thirds of the distance from town P to town R. Towns P and R are towns on the same side of the lake and are 18 miles apart. Line DQ passes through town S, which is 8 miles north of town R. Points P, Q, and R are collinear. What is the length of QS in Miles?
How many miles does the boat travel across the river?
#2 What is the area of a regular hexagon if the perimeter is 24cm?
Answered by Penny Nom. 





A 6 sided (hexagonal) pyramid 
20050122 

From Steve: im trying to make a 6 sided (hexagon) pyramid, from 6 triangles of 12mm plywood, i know all the angles to cut apart from the one one to join all 6 triangles together. Rough measurements are outer edge (A) of each triangle is 13cm's, length of other 2 sides (B&C) of triangle outside to center is 14cm's with a height of the whole thing together about 6cm's. Answered by Chris Fisher and Harley Weston. 





A regular hexagon is inscribed in a circle. 
20041208 

From Abraham: A regular hexagon is inscribed in a circle. What is the ratio of the length of a side of the hexagon to the minor arc that it intercepts?
(1) pi/6
(2) 3/6
(3) 3/pi (This is the correct answer.)
(4) 6/pi
I found the length of the minor arc to be (pi)(r)/3 by doing a sixth of the circumference(2pi r).But I can't find the length of the radius to finish off the problem. If I knew the radius I would then plug it into the above and then use the radius again to be the length of the side because the triangle(one of the six of a hexagon) is equilateral. But can you show me how to get the radius to be 3? Thank you so much.
Answered by Walter Whiteley. 





The sides of a hexagon 
20041101 

From Timothy: I have a perfect Hexagon in which i know the measurement across is 10m. Not from point to point, but from the middle of one side directly across to the middle of the other. From that measurement, how can I determine the length of 1 side. Answered by Penny Nom. 





Area of a hexagon 
20040810 

From RB: Hello. I need to find the Area in sq. ft. of a Hexagon with 6 equal sides, of 26' each. Answered by Penny Nom. 





Circles in a hexagon 
20040411 

From Crystal: step by step can you show me how to calculate the area of the region inside the hexagon but outside the seven circles. given the radius of each circle is one inch Answered by Penny Nom. 





Cutting some wood 
20030725 

From Betty: My husband is building a six sided wood circle and would like to know the angle to cut the pieces. Answered by Penny Nom. 





8 faces, 12 vertices, and 18 edges 
20030422 

From Thomas: I would like to know the proper name for this geometrical solid. It has 8 faces, 12 vertices, and 18 edges? Answered by Penny Nom. 





Area of a regular polygon 
20010501 

From Carl: What is the formula for finding the area of a regular Hexagon and a regular Pentagon Answered by Penny Nom. 





Hexagons 
20000223 

From Mohd. Amjad: I want to know about hexagons. What is the area and the perimeter of an hexagon? Answered by Penny Nom. 





A Hexagon 
19980922 

From Lee Curtis: Could someone calculate this for me? If a hexagon is 38 feet 8 inches across, how wide would each of the six sides be? Thank you, Lee Curtis Answered by Chris Fisher and Harley Weston. 





Two Inscribed Trapezoids 
19980127 

From James: A hexagon inscribed in a circle has three consecutive sides each of length 3 and three consecutive sides each of length 5. The chord of the circle that divides the hexagon into two trapezoids, one with three sides each of length 3 and the other with three sides each of length 5, has length equal to m/n, where m and n are relatively prime positive integers. Find m+n. Answered by Haragauri Gupta. 





Names of the Polygons 
19970304 

From Manuel: What do you call a 13 sided polygon? Is there a list of the different names? Answered by Walter Whiteley and Harley Weston. 





L'aire d'un hexagon, octagon etc 
20100107 

From danie: C'est quoi la formule pour l'aire d'un hexagon, octagon etc. estce que c'est
Nombre de cotes x ((L'apothem x la mesure d'un cote tout divise par 2)??? Answered by Claude Tardif. 

