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The circumference of a circle is $44$ cm. Then its area is,

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27.7 c m^{2}

153.94 c m^{2}

208 c m^{2}

144 c m^{2}

answer is B.

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Detailed Solution

It is given that the circumference of a circle is

44

cm. We need to find the area of the given circle.
We know that the circumference of a circle with radius

R

2 πR

.
By data,

2 πR = 44

\Rightarrow R = \frac{44}{2 π}

\Rightarrow R = \frac{44}{2 \times 3.14}

\Rightarrow R = 7 cm

We know that the area of a circle with radius

R

π R^{2} uni t^{2}

.
Therefore,

Area = π R^{2}

Substitute

R = 7 cm

\Rightarrow Area = π {(7)}^{2}

\Rightarrow Area = 3.14 \times 49

\Rightarrow Area = 153.94 c m^{2}

Thus, when the circumference of a circle is

44

cm, its area is

153.94 c m^{2}

.
Hence, the correct option is 2.

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