(Q6) Find the area of the shaded region in the figure, given in which two circles with centres A and B touch each other at the point C. If AC = 8 cm. and AB = 3 cm.

Given Two circles with centers A and B, whose radii are 8 cm and 5 cm

[AC = 8cm, AB = 3cm BC = 8-3 = 5cm]

Area of the shaded region = (Area of the larger circle) - (area of the smaller circle)

= πr12 - πr22

=
22
7
 (r12 - r22)
=
22
7
 (2 - 2)
=
22
7
 (+)×(-)
=
22
7
 ××

=.57cm2