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 θ be the angle.

We have:

r = 14 cm and θ = 90°

Area of the sector ${\displaystyle =\frac{\pi {\text{r}}^2\theta }{360}}$

${\displaystyle =(\frac{22}{7}\times 14\times 14\times \frac{90}{360}){\text{cm}}^2}$

= 154 cm²