Question

A chord with a length of `12` runs from `pi/4` to `pi/2` radians on a circle. What is the area of the circle?

Answer 1

`=733.4`

Explanation:

The chord covers `pi/2-pi/4=pi/4` radians on a Circle
That means
The length of the chord `=pi/4-:2pi=1/8times`Circumference of the Circle.
or
The length of the chord`=12=(2pir)/8` where `r` is the radius
or
`(2pir)/8=12`
or
`r=12times8/(2pi)`
or
`r=48/pi`
or
`r=15.28`
Area of the Circle `=pir^2=pi(15.28)^2=733.4`