Area of Shaded Region Worksheet

Area of Shaded Region

Read each question carefully and calculate the area of the shaded region. Show all your work.

1. Find the area of the shaded region if the side length of the square is 10 cm and the radius of the inscribed circle is 5 cm. (Use π = 3.14)

2. A rectangle has a length of 12 inches and a width of 8 inches. A triangle with a base of 8 inches and a height of 6 inches is cut from one corner. What is the area of the remaining (shaded) region?

3. A semi-circle with radius 7 cm is cut from a square with side length 14 cm. Which of the following is the area of the shaded region? (Use π = 22/7)

4. A large circle has a radius of 10 cm. Two smaller circles, each with a radius of 5 cm, are placed inside the large circle such that their diameters lie along the diameter of the large circle and they touch at the center. Calculate the area of the shaded region (the area of the large circle not covered by the two smaller circles). (Use π = 3.14)

5. If a square is inscribed in a circle, the area of the shaded region (circle minus square) can be calculated by subtracting the area of the square from the area of the circle.