Question

The circle shown has the center o and the measure of angle aob is 45. if the area of the shaded sector is 18 pi what is the radius of the circle

Answer 1

The picture in the attached figure

we know that
area of the circle=pi*r²

if 45° has an area-------> 18*pi units²
360° (full circle)----------> x
x=360*18*pi/45-----> x=144*pi units²

area of circle=pi*r²
144*pi=pi*r²------> r²=144--------> r=√144-----> r=12 units