Question

Find the meaure of the central angle the sector area is 169.56 and the radius is 9

Answer 1

Since the area of a circle is π
`r^(2)`, and our radius is 9 we know the total area to be 254.469, and the ratio of sector area to total area is 169.56/254.469 = .6663. There are 360 degrees in a circle, so:
`c = 360(.6663)` ≈ 240°

240 degrees