Question

square mnop circumscribes circle q. find the area of the shaded region. roun your answer to the nearest tenth if necessary. m 5 p 5 q n o answer attempt 1 out of 3 units² submit answer

Explanation:

Step1: Square side length

Side length \( s = 5 \)

Step2: Area of square

\( A_{\text{square}} = s^2 = 5^2 = 25 \)

Step3: Circle radius

Radius \( r = \frac{s}{2} = \frac{5}{2} = 2.5 \)

Step4: Area of circle

\( A_{\text{circle}} = \pi r^2 = \pi (2.5)^2 = 6.25\pi \)

Step5: Shaded area

\( A_{\text{shaded}} = A_{\text{square}} - A_{\text{circle}} = 25 - 6.25\pi \approx 25 - 19.63 = 5.37 \)

Answer:

5.4