Question

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

Answer 1

`"Area" = pi*(csc(pi/8))^2`

Explanation:

From the diagram (below) we note that the radius of the circle is
`color(white)("XXX") r=csc(pi/8)`

So the area is
`color(white)("XXX")"Area" = pir^2 = pi*(csc(pi/8))^2 ~~ 21.45 "sq.units"`