The figure is made up of 4 semicircles with diameters 20m, 18m, 14m, and 10m respectively. Find the area of the shaded region.
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Answer:
264/7 m²
Step-by-step explanation:
shaded region = (area 14m semi-circle) - (area of 10m semicircle)
area of second semi-circle,
d=2r
14=2r
radius = 7m
area of semicircle = (πr²)÷2
= (22/7) × 7 × 7 ÷ 2
= 11 × 7
= 77 m²
area of first semicircle,
d=2r
10=2r
radius = 5m
area of semicircle = (πr²)÷2
= (22/7) × 5 × 5 ÷ 2
= 275/7 m²
shaded region = area of second semicircle - area of first semicircle
= 77 - 275/7
= 264/7 m²
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