Question

A chord with a length of `15` runs from `pi/4` to `pi/3` radians on a circle. What is the area of the circle?

Answer 1

Area of the circle = 10,372.3476

Explanation:

Chord length = 15
`theta = (pi/3) - (pi/4) = pi / 12`
`R = (c/2) / sin (theta/2) = (15/2)/sin (pi/24) = 57.4597`

Area of the circle = `pi R^2 = pi* 57.4597^2 = 10,372.3476`