Question

Find the area of a quadrant of a circle whose radius is $14cm$.

Answer 1

Step 1: Compute the area of the circle:

Given that, the radius of the circle is $14cm$.

The formula for the area of a circle with radius $r$ is given by ${\mathrm{\pi r}}^2$. That is

area $=\mathrm{\pi }\times {14}^2$

$=\mathrm{\pi }\times 14\times 14$

$=\frac{22}{7}\times 14\times 14$

$=22\times 2\times 14$

$=616$

$\therefore$area of the circle is $616c{m}^2$.

Step 2: Compute area of quadrant:

$\therefore$area of a quadrant of the circle $=\frac{616}{4}$

$=154$

Hence, the area of a quadrant of a circle is $154c{m}^2$.