Question

The circumference of a circle is 22 cm. Find the area of its quadrant.

Answer 1

Circumference of circle = 2 $\pi$ r

$\Rightarrow$ 22 = 2 $\pi$ r

$\Rightarrow$ 22 = 2 $\times$ $\frac{22}{7}$ $\times$ r

$\Rightarrow$ 11 = $\frac{22}{7}$ $\times$ r

$\Rightarrow$ r = $\frac{7}{2}$

Area of Quadrant = $\frac{1}{4}$ $\pi$ r²
= $\frac{1}{4}$ $\times$ $\frac{22}{7}$ $\times$ $\frac{7}{2}$ $\times$ $\frac{7}{2}$
= 9.625 cm²