Question

4cm of diameter of semicircles is AB. ACB is a semiconductor Angle. BC=2root7 if AC=?​

Answer 1

Answer:

ANSWER

Let O be the centre of the circle. Then, OA=OB=OD=r

Now, OC=r−2

and CD=6

Thus, in △ODC

OC

2

+CD

2

=OD

2

(r−2)

2

+6

2

=r

2

r

2

+4−4r+36=r

2

4r=40

r=10 cm

Area of semicircle =

2

πr

2

=

2

π(10)

2

=50π