Question

In Fig. 15.79, the square ABCD is divided into five equal parts, all having same area. The
central part is circular and the lines AE, GC, BF and HD lie along the diagonals AC and
BD of the square. If AB = 22 cm, find:
(i) the circumference of the central part. (ii) the perimeter of the part ABEF.
А
D
H
22 cm
F
G
B
с​

Answer 1

Answer:

Given AB=BC=CD=DA=22cm

Area of square=22×22=484cm

2

Area of circle=

5

1

×484=96.8cm

2

[Given]

⇒πr

2

=96.8⇒r

2

=

3.14

96.8

=30.83⇒r=

30.83

=5.55cm

Circumference=2πr=2×3.14×5.55=34.854cm