Question

given the two concentric circles with center v below, find the area of the shaded region. round your answer to the nearest tenth if necessary.

Explanation:

Step1: Determine radii

Inner radius \( r = 9 \), outer radius \( R = 9 + 6 = 15 \)

Step2: Calculate area difference

Area of shaded region \( = \pi R^2 - \pi r^2 = \pi (15^2 - 9^2) \)

Step3: Compute numerical value

\( 15^2 - 9^2 = 225 - 81 = 144 \), so area \( = 144\pi \approx 144 \times 3.1416 \approx 452.4 \)

Answer:

452.4