Question

In a​ circle, a 270degrees sector has area 75pi inches squared. What is the radius of the​ circle?

The radius of the circle is___in.

Answer 1

a 270 degree of sector = 0.75 of its area
area = π r²
so,
0.75 π r² = 75 π

r² = (75 π)/( 0.75 π) = 100

r = +√100 = 10
so
The radius of the circle is 10 in