Question

find the area of the shaded region. (do not round your answer.)
area = 25 yd².
10 yd
10 yd
7 yd
5

Explanation:

Step1: Calculate the area of the circle

The formula for the area of a circle is \(A_{circle}=\pi r^{2}\), where \(r = 7\) yd.
\(A_{circle}=\pi\times7^{2}=49\pi\) \(yd^{2}\)

Step2: Calculate the area of the square

The formula for the area of a square is \(A_{square}=s\times s\), where \(s = 10\) yd.
\(A_{square}=10\times10 = 100\) \(yd^{2}\)

Step3: Calculate the area of the shaded region

The area of the shaded region \(A=A_{circle}-A_{square}\)
Substitute the values: \(A = 49\pi-100\)
Using \(\pi = 3.14\), \(A=49\times3.14 - 100\)
\(A = 153.86-100\)
\(A=53.86\) \(yd^{2}\)

Answer:

\(53.86\) \(yd^{2}\)