Question

A chord with a length of `16` runs from `pi/8` to `pi/2` radians on a circle. What is the area of the circle?

Answer 1

area `~~651.406" units"^2" "` to 3 decimal places

Explanation:

Known:`" " rsin(1/2xx(3pi)/8)=16/2`

`=> r=8/(sin((3pi)/16))`

Known:`" area"=pir^2`

Thus area `=pixx8^2/([sin((3pi)/16)]^2)`

Thus area `~~651.406" units"^2" "` to 3 decimal places