Question

A chord with a length of `1` runs from `pi/4` to `pi/2` radians on a circle. What is the area of the circle?

Answer 1

Area `=` 5.363 `color(white)(a)`sq.units

Explanation:

Angle at the center `=pi/2-pi/4=pi/4`
Base angle each `=(pi-(pi/4))/2=(3pi)/8`
`r*cos((3pi)/8)=1/2`
`r=(1/2)/cos((3pi)/8)=1.3066`

Area of the circle`=pi*r^2=(22/7)*1.3066^2=5.363`