Draw a rectangle ABCD in which AB = 12 cm and BC = 7cm. Now take BC as diameter, draw a semicircle outside of ABCD, similarly take AD as diameter draw another semicircle outside of ABCD.
Now find the area and perimeter of the figure you have drawn.
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Answer:
Hmm Nice Question
Step-by-step 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)= 27 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 22 =(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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