Question

A chord with a length of `4` runs from `pi/3` to `pi/2` radians on a circle. What is the area of the circle?

Answer 1

The area is `24^2/pi`

Explanation:

From `pi/3` to `pi/2` there are `pi/6` radians.
Then `r pi/6 =l` where `r` is the circle radius and `l` the chord.
From this relationship we obtain the radius `r = 6 l/pi` Equating now the circle area `A = pi r^2 = pi(6*4/pi)^2 = 24^2/pi`