Question

find the area of the shaded region. round your answer to the nearest tenth

Explanation:

Step1: Calculate area of outer circle

$A_{outer} = \pi r_{outer}^2 = \pi (10)^2 = 100\pi$

Step2: Calculate area of inner circle

$A_{inner} = \pi r_{inner}^2 = \pi (8)^2 = 64\pi$

Step3: Subtract inner from outer area

$A_{shaded} = 100\pi - 64\pi = 36\pi$

Step4: Compute decimal and round

$36\pi \approx 36 \times 3.1416 = 113.0976 \approx 113.1$

Answer:

113.1