What is the exact area of the region bounded by two concentric circles with radii 10 inches and 6 inches?

You probably want the area of the donut between the two circles.

The area of each circle is [ (pi) x R2 ].

The area between two concentric circles is (pi)R12 - (pi)R22 = (R12 - R22)pi = (102 - 62)pi

The "exact area" is 64(pi) inches2.

The approximate number is 201.062 inches2 (rounded)