Question

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

Explanation:

Step1: Find the radius of the larger circle

The radius of the larger circle \( R=3.5 + 4=7.5\)

Step2: Use the formula for the area of a ring

The area of the shaded region (ring) is \(A=\pi R^{2}-\pi r^{2}=\pi(R^{2}-r^{2})\)
Substitute \(R = 7.5\) and \(r = 3.5\) into the formula:

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Take \(\pi\approx3.14\), then \(A\approx3.14\times44 = 138.16\)

Answer:

\(138.2\)