Question

A chord with a length of `9` runs from `pi/12` to `pi/8` radians on a circle. What is the area of the circle?

Answer 1

About 14872.2800 `un^2`

Explanation:

The formula used to find the length of a chord is `2r*sin(theta/2)=l` where `r` is the radius, `theta` is the measure of the arc, and `l` is the length of the chord.
One circle has 2`pi` radians. If you take the difference of `pi/12` and `pi/8`, you should get `pi/24`. This is your `theta`. Now you can plug in what you know and solve for `r`. `r~~`68.80405. You can plug that into the equation for the area of a circle, `A=pir^2` which yields about 14872.2800.