Question

review homework: unit 3 - geometry
question 31, 6.4.61
hw score: 56.9%, 33 of 58 points
points: 0 of 1
find the area of the shaded region. use the approximation 3.14 for π.
the area of the shaded region is approximately □
(simplify your answer. type a whole number or a decimal.)
image shows a square with a circle inside, diameter 24 in.

Explanation:

Step1: Find area of square

The square has side length equal to the diameter of the circle, which is 24 in. Area of square: $24 \times 24 = 576$ square inches.

Step2: Find area of circle

Radius of circle is $\frac{24}{2}=12$ in. Area of circle: $\pi r^2 = 3.14 \times 12^2 = 3.14 \times 144 = 452.16$ square inches.

Step3: Find shaded area

Shaded area = Area of square - Area of circle: $576 - 452.16 = 123.84$ square inches.

Answer:

123.84