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.

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Mia 3 weeks 2021-08-23T04:34:18+00:00 1 Answer 0 views 0

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    2021-08-23T04:35:23+00:00

    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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