Math CentralQuandaries & Queries


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,

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