Question

square $tuvw$ circumscribes circle $x$. find the area of the shaded region. round your answer to the nearest tenth if necessary.

Explanation:

Step1: Square area calculation

$A_{\text{square}} = 19^2 = 361$

Step2: Circle radius determination

$r = \frac{19}{2} = 9.5$

Step3: Circle area calculation

$A_{\text{circle}} = \pi r^2 = \pi (9.5)^2 \approx 283.53$

Step4: Shaded area calculation

$A_{\text{shaded}} = 361 - 283.53 \approx 77.5$

Answer:

77.5