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Question

A circular flowerbed is surrounded by a path 1 m wide. The diameter of the flowerbed is 40 m. Find the area of the path. (π=227)

A
128.86 m2
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B
130 m2
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C
135.1 m2
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Solution

The correct option is A 128.86 m2

Given: Diameter of flowerbed =40 m, width of path =1 m

In order to find the area of the flowerbed which is circular in shape, we need to find the area of the outer circle and then subtract the area of the inner circle.

Radius of inner circle =20 m

Radius of outer circle =20+1=21 m

Area of a circle =πr2

Area of outer circle =πr2

=227×21×21

=22×21×3

=22×63=1386 m2

Area of inner circle =πr2

=227×20×20

=22×20×207

=88007=1257.14 m2

Area of path =13861257.14=128.86 m2

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