Question

2. AD is the diameter of a circle of radius 6 cm and AB = BC
=CD. Semi-circles are drawn with AB and BD as diameters
as shown in the figure. Find the perimeter and area of the
shaded region.
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Answer 1

Answer:

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Answer 2

Answer

We have AD= diameter of circle of radius 6cm=12cm

So, AB=BC=CD=

3

12

=4cm

BD=BC+CD=4+4=8cm

Hence required perimeter=arc of semicircle of radius 6cm+ arc of semicircle of radius 4cm+ arc of semicircle of radius 2cm

=(π×6+π×4+π×2)cm

=12πcm.

Required Area = area of semicircle with AD as diameter+area of semicircle with AB as diameter−area of semicircle with BD as diameter.