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:
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