Question

Mark (✓) against the correct answer
The circumference of a circle is 44 cm. Its area is

(a) 308 cm²
(b) 154 cm²
(c) 77 cm²
(d) 616 cm²

Answer 1

(b) 154 cm²

Let the radius of the circle be r cm.
Circumference = $\left(2\mathrm{\pi r}\right)$cm
∴ $\left(2\mathrm{\pi r}\right)$ = 44
⇒ $\left(2\times \frac{22}{7}\times r\right)=44$
⇒ r = $\left(\frac{44\times 7}{2\times 22}\right)$ = 7 cm
∴ Area of the circle = ${\mathrm{\pi r}}^2$
= $\left(\frac{22}{7}\times 7\times 7\right)$ cm² = 154 cm²