Question

Three semicircles each of diameter 3cm a circle of diameter 4*5cm and a semicircle of radius 4*5cm are drawn in the given figure.Find the area of the shaded region.


please solve this question​

Answer 1

Step-by-step explanation:

Area of big semicircle =

2

1

πr

2

=

2

π

×(4.5)

2

Area of one small semicircle =

2

π

×(

10

15

)

2

Area of the given figure =

2

π

[

100

45×45

+

100

15×15

]=

4

45π

cm

2

Area of circle =π×(

10

45

)

2

Area of the shaded region = Area of a given figure - Area of circle −2× Area of small semicircles

=

4

45π

−

100

45×45π

−2×

2

π

(

100

15×15

)

=

100

45π

×[1125−45−5]

=

100×7

45×22

×1075

Area of the shaded region=1520.35cm

2

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