Question

The circumference of a circle is 44 cm. Its area is

(a) 77 cm² (b) 154 cm² (c) 208 cm² (d) 144 cm²

Answer 1

Let r be the radius of the circle. Then
$44=2\pi r\Rightarrow r=\frac{44}{2\times {\displaystyle \frac{22}{7}}}=7\mathrm{cm}$
Therefore
Area of circle = $\pi r^2=\frac{22}{7}\times 7^2=154{\mathrm{cm}}^2$
Hence, the correct option is (b).