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A rhombus has the same perimeter as the circumference of a circle. If the side of the rhombus is $2.2$ m, find the radius of the circle.

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1.4

4.4

1.1

2.2

answer is A.

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Detailed Solution

It is given that a rhombus has the same perimeter as the circumference of a circle. The side of the rhombus is

2.2

m.
We need to find the radius of the circle.
Let the side of the rhombus be

a

\Rightarrow a = 2.2 m

We know that the perimeter of a rhombus is

4 a

units, where

a

is its side.

\Rightarrow Perimerter of rhombus = 4 \times 2.2

\Rightarrow Perimerter of rhombus = 8.8

m
We know that the circumference of a circle is

2 πr

units, where

r

is its radius.

\Rightarrow Circumference = 2 πr

\Rightarrow 8.8 = 2 πr

\Rightarrow r = \frac{8.8}{2 π}

\Rightarrow r = \frac{8.8}{2} \times \frac{7}{22}

\Rightarrow r = 1.4

m
Thus the radius of the circle is

1.4

m.
Hence, the correct option is 1.

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