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What is the area of circle whose circumference is $44 cm$ ?

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77 c m^{2}

308 c m^{2}

168 c m^{2}

154 c m^{2}

answer is D.

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Detailed Solution

We have been given,
Circumference

= 44 cm

.
Let

C

be the circumference of the circle.
We know, 2πr

= C

Substituting the values,

2 πr = 44

2 \times \frac{22}{7} \times r = 44

r = \frac{44 \times 7}{44}

r = 7 cm

Thus, the radius of the circle is 7 cm.
Now, we know the area of circle is given by,

A = π r^{2}

Substituting the values,

A = \frac{22}{7} \times 7^{2}

A = 22 \times 7

A = 154 {cm}^{2}

Therefore, the area of circle is

154 {cm}^{2}

.
Hence, option 4 is correct.

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