Answer:
7. 22.28 in.²
8. 76.26 in.²
9. 13.76 cm²
10. 49.74 cm²
Step-by-step explanation:
7.
A square with side 4 in. and a semicircle with diameter 4 in., radius = 2 in.
area = area of square + area of semicircle
area = s² + πr²/2
area = (4 in.)² + 3.14(2 in.)²/2
area = 16 in.² + 6.28 in.²
area = 22.28 in.²
8.
A rectangle with length and width of 8 in. and 6 in. and 2 semicircles with diameter 6 in., radius = 3 in. The 2 semicircles combine to make one circle or radius 3 in.
area = area of rectangle + area of circle
area = LW + πr²
area = 8 in. × 6 in. + 3.14(3 in.)²
area = 48 in.² + 28.26 in.²
area = 76.26 in.²
9.
A circle inside a square. The area we need is the shaded area, so we need to subtract the area of the circle from the area of the square.
area = area of square - area of circle
area = s² - πr²
area = (8 cm)² - 3.14(4 cm)²
area = 64 cm² - 50.24 cm²
area = 13.76 cm²
10.
A circle inside a parallelogram. The area we need is the shaded area, so we need to subtract the area of the circle from the area of the parallelogram.
area = area of parallelogram - area of circle
area = bh - πr²
area = (13 cm)(6 cm) - 3.14(3 cm)²
area = 78 cm² - 28.26 cm²
area = 49.74 cm²
