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Find area and perimeter of shaded regions below

Find area and perimeter of shaded regions below-example-1
User StefanoP
by
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1 Answer

15 votes
15 votes

Answer:

Explanation:

ABCD is a square.

side = 24 cm

Area of square = side * side = 24 * 24 = 576 cm²

Semicircle:

d = 24 cm

r = 24/2 = 12 cm

Area of semi circle =πr²

= 3.14 * 12 * 12

= 452.16 cm²

Area of shaded region = area of square - area of semicircle + area of semicircle

= 576 - 452.16 + 452.16

= 576 cm²

Perimeter:

Circumference of semicircle = 2πr

= 2 * 3.14 * 12

= 75.36

Perimeter = 2* circumference of semicircle + 24 + 24

= 2 * 75.36 + 24 + 24

= 150.72 + 24 + 24

= 198.72 cm

User Paco
by
2.9k points