Next, we calculate the area of the inscribed circle using the formula π r². We are given the radius r = 7 cm and instructed to use π = 22/7.

A circle of radius $7 \text{ cm}$ is inscribed in a square. Find the area of the shaded region. Use $\pi = 22/7$ . length of square $= 2 \times 8$ (circle, square, radius, area, pi)

Answer: The area of the shaded region is $42 \text{ cm}^2$ .

Step-by-step solution

Step 1: Determine the side length of the square

When a circle is inscribed in a square, the diameter of the circle is equal to the side length of the square. Since the radius is given as $7 \text{ cm}$ , the diameter will be twice the radius.

Step 2: Calculate the area of the square

Now that we have the side length of the square, we can calculate its area using the formula for the area of a square, which is side multiplied by side.

Step 3: Calculate the area of the circle

Next, we calculate the area of the inscribed circle using the formula $\pi r^2$ . We are given the radius $r = 7 \text{ cm}$ and instructed to use $\pi = 22/7$ .

Step 4: Calculate the area of the shaded region

The shaded region is the area of the square that is not covered by the circle. Therefore, we subtract the area of the circle from the area of the square to find the area of the shaded region.

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A circle of radius 7 cm7 \text{ cm}7 cm is inscribed in a square. Find the area of the shaded region. Use π=22/7\pi = 22/7π=22/7. length of square =2×8= 2 \times 8=2×8 (circle, square, radius, area, pi)