Question

A sector with an area of 140 pie cm^2 has a radius of 20 cm.

r = 20 cm
A = 140 pie cm^2
What is the central angle measure of the sector in degrees?

Answer 1

cm 32

Explanation:

Answer 2

Central angle = 126°

Explanation:

Area of the sector = 140π cm²

Radius of the given circle = 20 cm

Since area of the sector =
`(\theta)/(360)* (\pi r^(2))`

[where θ is the central angle formed by the sector at the center]

140π =
`(\theta)/(360)(\pi)(20)^(2)`

θ =
`((140\pi)* 360)/(400\pi )`

θ = 126°

Therefore, central angle of the sector will be 126°.