SOLUTION: A regular cyclical polygon is inscribed inside a circle of radius 5cm. Find the length of one side. This question is from the chapter: Sine and cosine ratios.Please help me solve m

Question 233423: A regular cyclical polygon is inscribed inside a circle of radius 5cm. Find the length of one side. This question is from the chapter: Sine and cosine ratios.Please help me solve my question. It is really urgent. Thankyou very much indeed.
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
A regular cyclical polygon is inscribed inside a circle of radius 5cm. Find the length of one side
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The internal angle of a regular polygon of n sides is
180*(n-2)/n degrees = A
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The angle from the center to 2 adjacent vertices is
180 - A
--------
The bisector from the center to a side forms 2 congruent right triangles.
The length of the side is 2r*sin(A/2)
= 10sin(A/2)
= 10sin(90(n-2)/n)

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