An equilateral triangle is inscribed in a circle. How many times greater is the area of the circle than the area of the

[VJesus12]

An equilateral triangle is inscribed in a circle. How many times greater is the area of the circle than the area of the triangle?

A. \(\dfrac{\pi}{\sqrt3}\)

B. \(\dfrac{3\pi}{4}\)

C. \(\dfrac{4\pi}{3\sqrt3}\)

D. \(3\)

E. \(\dfrac{2\pi}{\sqrt3}\)

Answer: C

Source: Princeton Review