Question

If the circumference of a circle is 88 cm, find its radius and area.

Answer 1

Circumference of the circle is 88 cm.
Circumference = πd = 88 cm
$$\begin{gathered} \Rightarrow d=\frac{88\times 7}{22}=28\mathrm{cm} \\ \mathrm{and}r\mathit{=}\frac{d}{\mathit{2}}\mathit{=}14\mathrm{cm} \end{gathered}$$ $\left(\mathrm{Taking}\mathrm{\pi }=\frac{22}{7}\right)$
Area = πr²
= π × 14 cm × 14 cm
= 616 cm² $\left(\mathrm{Taking}\mathrm{\pi }=\frac{22}{7}\right)$
∴ Radius of the circle is 14 cm and area is 616 cm².