The polar form of ##x^2+y^2=100## is ##r=10## and polar form of ##x^2-10x+y^2=0## is ##r=10 \cos\theta##
My idea is to divide the working into two parts:
1) find the integral in 1st quadrant and multiply by 2 to include the region in 4th quadrant
2) find the integral in 2nd quadrant and...