In a circle, a 270 sector has area 675pie in^2. What is the radius of the circle?

Question

Mathematics

Kyra Blake

27 September, 17:30

In a circle, a 270 sector has area 675pie in^2. What is the radius of the circle?

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Answers (2)

Know the Answer?

Coffey · Answer 1

Area of sector = pi r^2 • angle/360

Pi r^2• 270/360 = 675pi (cancel pi on both sides)

R^2 •3/4 = 675

R^2 = 675 • 4/3

R^2 = 900

R = square root of 900

R = 30

The radius is 30

Aspen Phillips · Answer 2

First, it is pi instead of pie.

Let r inch be the radius.

(270/360) (pi*r^2) = 675 pi

r=30

Hence, the radius is 30 inch