Answer: 422.39
Explanation:
To find the shaded region (I'm assuming it's the area inside the circle but outside the rectangle), subtract the area of the rectangle from the area of the circle.
The formula for circle area: πr^2
r is the radius, and it is given that r = 12, so the area of the circle is:
π * 12^2 ---> 144π is the area of the circle
Next, find the area of the rectangle: 3 * 10 = 30
Finally, find subtract the area of the rectangle from the area of the circle to find the shaded region:
144π - 30 ≈ 422.39