Question

A RECTANGLE ENCLOSES FOUR CIRCLES.The radius of each Cicle is 7 cm. Calculate the area of (a) The rectangle and (b) The shaded portion

Answer 1

Given

Radius of enclosed four circles

=

7

c

m

Diameter of a circle

=

14

c

m

Length of rectangle

=

4

(

14

)

=

56

c

m

[As four circles cover the length of rectangle ]

Width of rectangle

=

14

c

m

[As only one circle covers width of rectangle]

(a) Area of rectangle

=

Length

×

Width

=

56

×

14

=

784

c

m

2

(b) Area of enclosed circle

=

π

r

2

=

22

7

×

7

×

7

=

154

c

m

2

Area of enclosed four circles

=

4

×

156

=

616

c

m

2