If ABCD Is a square in which each side is 8 cm then, find area of the shaded region? image attached in my answer .please see the image to answer my Question ? Class?

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Answer

Calculation of Shaded Region in a Square

The area of the shaded region in a square can be determined by subtracting the area of a smaller shape from the total area of the square. In this case, the square ABCD has sides measuring 8 cm each.

Total Area of the Square:
The area of a square is calculated by squaring the length of one of its sides. Therefore, the total area of square ABCD can be calculated as:
Area of the square = side x side = 8 cm x 8 cm = 64 sq. cm

Area of the Shaded Region:
To find the area of the shaded region, we need to determine the area of the smaller shape within the square. The shaded region is a quarter circle with a radius equal to the side length of the square.
Radius of the quarter circle = side length of the square = 8 cm

Area of the Quarter Circle:
The area of a quarter circle can be calculated using the formula: (πr^2)/4
Substitute the radius value into the formula:
Area of the quarter circle = (π x 8^2)/4 = (64π)/4 = 16π sq. cm

Area of the Shaded Region:
Now, subtract the area of the quarter circle from the total area of the square to find the area of the shaded region:
Area of the shaded region = Total area of the square - Area of the quarter circle
Area of the shaded region = 64 sq. cm - 16π sq. cm ≈ 64 sq. cm - 50.27 sq. cm ≈ 13.73 sq. cm

Therefore, the area of the shaded region in the square ABCD is approximately 13.73 square centimeters.

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