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if an equilaterl triangle is inscribed in a circle of a radius 8cm.then what is the area of the triangle?​

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facundo3141592

The area of the triangle is 83.14 square centimeters.

How to get the area of the triangle?

If an equilateral triangle is inscribed in a circle of radius R, each side of the triangle measures:

S = R*√3

In this case R = 8cm.

And we know that the area of an equilateral triangle of side length S is:

[tex]A = \frac{\sqrt{3} }{4} *S^2[/tex]

Replacing what we know in the area formula:

[tex]A = \frac{\sqrt{3} }{4} *(\sqrt{3}*8cm)^2 = 83.14 cm^2[/tex]

The area of the triangle is 83.14 square centimeters.

If you want to learn more about triangles:

https://brainly.com/question/2217700

#SPJ1

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