To find the area of the region that is inside the square and outside the circle, we first need to find the area of the square and the area of the circle, and then subtract the area of the circle from the area of the square.
The area of the square is equal to the side length squared. Since the circle's diameter is equal to the side length of the square, the side length of the square is also 14 in. Therefore, the area of the square is 14^2 = 196 square inches.
The area of the circle is given by the formula A = πr^2, where r is the radius of the circle. Since the diameter of the circle is 14 in, the radius is half of that, which is 7 in. Therefore, the area of the circle is π(7)^2 = 49π square inches, or approximately 153.9 square inches.
Finally, the area of the region that is inside the square and outside the circle is 196 - 153.9 = 42.1 square inches.
So, the area of the region to the nearest tenth is approximately 42.1 square inches.
Find, to the nearest tenth, the area of the region that is inside the square and outside the circle. The diameter of the circle is 14 in.
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