Question

A chord with a length of `16` runs from `pi/4` to `pi/2` radians on a circle. What is the area of the circle?

Answer 1

`=4096pi`

Explanation:

Length of chord`=16` for `pi/2-pi/4=pi/4`distance
So for `pi/4` chord Length`=16`
for `2pi` chord Length`=16/(pi/4)(2pi)=128pi`
So we have Circumference`=128pi`
or
`2pir=128pi`
or
`r=128pi/(2pi)`
or
`r=64`
Area`=pir^2=pi(64)^2=4096pi`