Question

A chord with a length of `8` runs from `pi/12` to `pi/8` radians on a circle. What is the area of the circle?

Answer 1

Area of the circle is 11,750.9632

Explanation:

Chord length = 8
`theta = (pi/8) - (pi/12) = (pi) / 24`
`R = (c/2) / sin (theta/2) = (8/2)/sin ((pi)/48) = 61.1592`

Area of the circle = `pi R^2 = pi* 61.1592^2 = 11,750.9632`