Question

A chord with a length of `12` runs from `pi/3` to `pi/2` radians on a circle. What is the area of the circle?

Answer 1

Area of the circle is 1688.3371

Explanation:

Chord length = 12
`theta = (pi/2) - (pi/3) = (pi) / 6`
`R = (c/2) / sin (theta/2) = (12/2)/sin ((pi)/12) = 23.1822`

Area of the circle = `pi R^2 = pi* 23.1822^2 = 1688.3371`