SOLUTION: An 8-sided regular polygon (regular octagon) is inscribed in a circle whose radius is 8 inches. Find the area of the polygon.
I know to find the area of an octagon, I need to f
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-> SOLUTION: An 8-sided regular polygon (regular octagon) is inscribed in a circle whose radius is 8 inches. Find the area of the polygon.
I know to find the area of an octagon, I need to f
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Question 1071593: An 8-sided regular polygon (regular octagon) is inscribed in a circle whose radius is 8 inches. Find the area of the polygon.
I know to find the area of an octagon, I need to find the length of a single side of the octagon. I read a lesson created by the Algebra.com tutor ikleyn, on how to find the length of a side of an octagon inscribed in a circle via the circle's radius, but did not quite understand it. Any help solving this problem would be awesome. Thanks! Answer by josgarithmetic(39617) (Show Source):
You can put this solution on YOUR website! This octagon is made of 8 isosceles triangles each of two sides 8 inches and the tip angle of 45 degrees. This makes the other two angles 67.5 degrees each. You can use Law of Cosines to find the length of the side opposite of the tip angle.
Note that the tip angle between each of the two equal sides of the triangle is also a central angle of the circle.
Two sides known, 8 and 8; third side to be found, s;
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