Question

The radius of a circle is 4 feet. What is the area of a sector bounded by a 45° arc?

Answer 1

Sinc the radius of the circle is 4 feet, the area =
`\pi`
`r^(2)`. The area would equal
`16 \pi`. Then,
`(360)/(45)` would equal 8, and
`(16 \pi )/(8)` would equal
`2 \pi`

Answer 2

If u see circle make 360° as a whole
So 45 ° is 1/8th of the entire angle

If u find whole area of a circle= pi×r^2
r=4 ft
A= 16π
So divide it by 8
A= 2π feet^2