Question

If AB is a chord of length $5\sqrt{3}$ cm of a circle with centre O and radius 5 cm, then area of sector OAB is

(a) $\frac{3\mathrm{\pi }}{8}c{m}^2$

(b) $\frac{8\mathrm{\pi }}{3}c{m}^2$

(c) $25{\mathrm{\pi cm}}^2$

(d) $\frac{25\mathrm{\pi }}{3}c{m}^2$

Answer 1

We have to find the area of the sector OAB.

We have,

So,

Hence,

Therefore area of the sector,

So answer is (d)