Question

In a triangle $ABC$ if $b=2,B=$ ${30}^{\circ }$ then the area of the circumcircle of triangle $ABC$ in square units is:

• A. $\pi$
• B. $2\pi$
• C. $4\pi$
• D. $6\pi$

Answer 1

Answer: (C)

$4\pi$

Using sine rule $\frac{b}{\sin B}=2R$

$\Rightarrow R=\frac{2}{2\sin {30}^o}=2$

Hence area of circumcircle is $=\pi R^2=4\pi$