Question

A chord with a length of `18` runs from `pi/12` to `pi/2` radians on a circle. What is the area of the circle?

Answer 1

Area of the circle is 685.6567

Explanation:

Chord length = 18
`theta = (pi/2) - (pi/12) = (5pi) / 12`
`R = (c/2) / sin (theta/2) = (18/2)/sin ((5pi)/24) = 14.7841`

Area of the circle = `pi R^2 = pi* 14.7841^2 = 685.6567`