Question

A chord with a length of `8` runs from `pi/12` to `pi/2` radians on a circle. What is the area of the circle?

Answer 1

`=117.34`

Explanation:

The chord covers `pi/2-pi/12=(5pi)/12`radians
Therefore we can write
The chord covers `(5pi)/12-:2pi=5/24` of Circumference of the Circle `i.e` (`2pir` ;where `r` is the radius of the Circle)
or
`5/24(2pir)=8`
or
`2pir=8times24/5`
or
`r=8times24/5times1/(2pi)`
or
`r=6.11`
Area of the Circle `=pir^2`
`=pi(6.11)^2`
`=117.34`