A circle is inside a square as shown.What is the area of the shaded region?Use 3.14 for π .Enter your answer as a decimal in the box.
Accepted Solution
A:
Hi there!
To find the shaded area, we need to subtract the area of the circle from the area of the square. First, let's find the area of the square by multiplying 8 x 8, which gives us 64 or the area of the square. Next, we need to find the area of the circle. We know that the radius is 4 (half of the diameter, 8), so this will be easy. Plug it into the formula and solve: pi x 4^2 | 16pi. Now, all we have to do is subtract 16pi from 64. This leaves us with 13.735 for the shaded area (can round decimal to tenth = 13.7, hundredth = 13.74).
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