SOLUTION: An equilateral triangle is inscribed in a circle of radius 10cm , Find the area of triangle ?? pleas helppp???????

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Question 1112131: An equilateral triangle is inscribed in a circle of radius 10cm ,
Find the area of triangle ??
pleas helppp???????
Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
.
The area of a regular triangle equals

S = 3.R%5E2.cos(60°).sin(60°) = 3.R%5E2.1%2F2.sqrt%283%29%2F2 = 3sqrt%283%29%2F4R%5E2,

where  R  is the radius of the circumscribed circle.


See the lesson
    - Area of a regular n-sided polygon via the radius of the circumscribed circle, Example 1
in this site.

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