Question

A circle with radius of \greenD{5\,\text{cm}}5cmstart color #1fab54, 5, start text, c, m, end text, end color #1fab54 sits inside a \blueD{11\,\text{cm} \times 11\,\text{cm}}11cm×11cmstart color #11accd, 11, start text, c, m, end text, times, 11, start text, c, m, end text, end color #11accd rectangle.

What is the area of the shaded region?
Round your final answer to the nearest hundredth.
plz help

Answer 1

121cm −25πcm ≈42.46cm

Explanation:

First, calculate the area of the whole figure, including the unshaded area.

(The area of a rectangle is the length times the width.)

Next, calculate the area of the inner figure.

π×5cm×5cm=25πcm

Finally, subtract the area of the inner circle from the area of the outer rectangle.