An equilateral triangle is inscribed in a circle of radius 4r. 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 3 x.

Question

An equilateral triangle is inscribed in a circle of radius 4r. 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 3 x.
The formula for the area is ​A(x)=

GPT 3.5 · Answer

A(x) = π(4r)^2 - √3/4(3x)^2

An equilateral triangle is inscribed in a circle of radius 4r. 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 3 x.

An equilateral triangle is inscribed in a circle of radius 4r. 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 3 x.