Question

In the figure, (AB)=14cm.if the
diameter of the semicircle AM and mb are equal what is the total area of the shaded part
​

Answer 1

Explanation:

Given AB=14cm,BC=AD=7cm

we know that the area of rectangle=l×b

area of the semicircle=

2

π×r

2

Here the radius of the big semicircle(r

1

)=

2

14

=7cm

the radius of the small semicircle(r

2

)=

2

7

cm

Area of shaded region = Area ABCD + 2 × area small semi-circle - area big semi-circle

=(l×b)+2⋅

2

1

πr

1

2

−

2

1

πr

2

2

=(14×7)+2×

2

1

×

7

22

×

2

7

×

2

7

−

2

1

×

7

22

×7×7

=98+38.5−77=59.5cm

2

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