Math CentralQuandaries & Queries


Subject: Math Question (Pre-Calc)
Name: Katy
Who are you: Student

I have to provide a written description to the following: If a regular hexagon is inscribed in a circle of radius 6.72 centimeters, find the length of one side of the pentagon. How would I got about explaining this? Thanks a bunch. Katy

Hi Katy,

You said hexagon and then in the same sentence pentagon and I wasn't sure which you wanted so I decided to use an octagon.

Inscribe a regular octagon in a circle. Join each vertex of the octagon to the centre of the circle.

octagon inscribed in a circle

The octagon is thus partitioned into eight isosceles triangles, each with a central angle of measure 360/8 = 45 degrees and two sides of length 6.72 centimeters. Can you find the length of the third side?


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