The figure is made up of 4 semicircles with diameters 20m, 18m, 14m, and 10m respectively. Find the area of the shaded region. Question The figure is made up of 4 semicircles with diameters 20m, 18m, 14m, and 10m respectively. Find the area of the shaded region. in progress 0 Math Mia 3 weeks 2021-08-23T04:34:18+00:00 2021-08-23T04:34:18+00:00 1 Answer 0 views 0

## Answers ( )

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