Question

In the following figure, the area of segment ACB is

(a) $\left(\frac{\mathrm{\pi }}{3}-\frac{\sqrt{3}}{2}\right)r^2$

(b) $\left(\frac{\mathrm{\pi }}{3}+\frac{\sqrt{3}}{2}\right)r^2$

(c) $\left(\frac{\mathrm{\pi }}{3}-\frac{\sqrt{2}}{3}\right)r^2$

(d) None of these

Figure

Answer 1

We have to find area of segment ACB.

We know that.

Substituting the values we get,

Substituting and we get,

Therefore, area of the segment ACB is.

Hence, the correct answer is option (d).