Question

A rectangle encloses for circle radius of each circle is 7 cm calculate the area of (a) the rectangle and(b) the shaded portion​

Answer 1

Answer:

Radius of enclosed four circles =7 cm

Diameter of a circle =14 cm

Length of rectangle =4(14)=56 cm [As four circles cover the length of rectangle ]

Width of rectangle =14 cm [As only one circle covers width of rectangle]

(a) Area of rectangle = Length × Width

=56×14=784 cm

2

(b) Area of enclosed circle =πr

2

=

7

22

×7×7

=154 cm

2

Area of enclosed four circles =4×156=616 cm

2

∴ Area of shaded part =784−616=168 cm

2

Step-by-step explanation:

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Answer 2

Answer ⤵️

a) In one circle,

r= 7cm

D= r×2

D=7×2

D= 14cm

Total circles=4×D

= 14×4

Length of the rectangle= 56 cm

The radii of the one circle is 7 cm. So the diameter is 14cm. As we discuss⤴️

Breadth of the rectangle= 14 cm

Area of the rectangle= l×b

Area of the rectangle= 56×14

Area of the rectangle= 784 cm²

b) Area of the shaded portion= Area of the 4 circles - Are a of the rectangle

Area of the 4 circles= As we know that area of a circle = πr². Now we multiply by 4 to calculate the area of the 4 circles direct.

Area of the 4 circles= 4πr²

Area of the 4 circles= 4×22/7×49

Area of the 4 circles= 4×22×7

Area of the 4 circles= 616 cm²

Area of the shaded portion= Area of the 4 circles - Are a of the rectangle.

Area of the shaded portion=784-616

Area of the shaded portion= 184 cm²

.

. . Area of the shaded portion is 184 cm².

Step-by-step explanation:

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