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| Math Central | Quandaries & Queries |
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Question from Harry, a student: I need to find the area of an octagon in a circle. each point of the octagon touches the edge of the circle, and the circle's diameter = 4 cm. What is the area of the octagon |
Hi Harry,
You can use two of Stephen's responses in the Quandaries and Queries database to find the area. First he found the side length of a regular heptagon inscribed in a circle of radius 12 cm. You can modify this to find the side length of a regular hexagon inscribed in a circle of radius 4 cm.
Then he developed an expression for the area of a regular polygon with side length a and n sides.
I hope this helps,
Penny
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