Question

If the circumference of a circular sheet is 176m, find it's area.

• A. 2664$m^2$
• B. 2464$m^2$
• C. 1624$m^2$
• D. 2986$m^2$

Answer 1

The correct option is B 2464$m^2$

Circumference $=2\times \pi \times r$
$\Rightarrow 176=2\times \pi \times r$
$176=2\times \frac{22}{7}\times r$
$\frac{8\times 22\times 7}{2\times 22}=r$
$r=\frac{56}{2}=28m$
$\text{area of circle}=\pi \times r^2$
=$\frac{22}{7}\times 28\times 28$
=$2464m^2$