In the diagram, the radius of the outer circle is

2x cm and the radius of the inside circle is 6

cm. The area of the shaded region is

2207 cm

What is the value of x?

Enter your answer in the box.

the area of a circle is πr²

the outer circle area = π 4x²

the inside circle area = π.6²=36π

the outer circle area - the inside circle area = he shaded region

π 4x² - 36π = 220π cm2 it implies x²-9 = 55 and x²=64, and x = sqrt (64) = 8

the value of x is 8