Question

AC is the diameter. Calculate the area of the sector (to the nearest whole number) created by ∠CDB.

Answer 1

Area of the circle is πr² which corresponds to an angle of 360° subtended at the center. Thus, the area of a sector subtending angle $\theta$ at the centre is:

$Area= \frac{\theta}{360}\times \pi r^2$

In this case put $\theta$ equal to 30°