Question

A chord of a circle of radius 14 cm a makes a right angle at the centre. Find the area of the sector.

Answer 1

Let r cm be the radius of the circle and $\theta$ be the angle.
We have:
$r=14\mathrm{cm}\mathrm{and}\theta =90°$
Area of the sector$=\frac{\mathrm{\pi }{r}^2\theta }{360}$
$$\begin{gathered} =\left(\frac{22}{7}\times 14\times 14\times \frac{90}{360}\right){\mathrm{cm}}^2 \\ =154{\mathrm{cm}}^2 \end{gathered}$$