Question

The area of this circle is 72π m². What is the area of a 45º sector of this circle?

Answer 1

9 \pi m^2

Explanation:

Given that there is a circle whose area is 72pi m^2

Area of a circle =
`\pi r^2 =72\pi\\`

We are to find the area of a sector with angle 45 degrees

We have formula for area of sector as

Area of sector = central angle* area of circle/360

Substitute the known values to get

Area of sector =
`(45)/(360) (72\pi) = 9 \pi m^2`

Hence we get

area of sector with 45 degrees =
`9 \pi m^2`