Question

In a circle, a 45° sector has an area of 32π cm2. What is the radius of this circle?

need help buds

Answer 1

Area of sector =
`(angle)/(360) \pi r^(2)`

32
`\pi` =
`(45)/(360) \pi r^(2)`

32 =
`(1)/(8) r^(2)`

`r^(2)` = 256

r = 16 cm