An equilateral triangle is inscribed in a circle of radius 6r. Express the area A within the circle but outside the triangle as a function of x, if the length of a side of the triangle is 9 x.

Question

An equilateral triangle is inscribed in a circle of radius 6r. Express the area A within the circle but outside the triangle as a function of​ x, if the length of a side of the triangle is 9 x.
The formula for the area is ​A(x)

GPT 3.5 · Answer

A(x) = π(6r)^2 - 3(1/2)(9x)(9x√3/2) A(x) = 36πr^2 - 81x^2√3 Therefore, the area A within the circle but outside the triangle as a function of x is A(x) = 36πr^2 - 81x^2√3.

An equilateral triangle is inscribed in a circle of radius 6r. Express the area A within the circle but outside the triangle as a function of​ x, if the length of a side of the triangle is 9 x.

An equilateral triangle is inscribed in a circle of radius 6r. Express the area A within the circle but outside the triangle as a function of x, if the length of a side of the triangle is 9 x.