# Easy Geometry & Mensuration Solved QuestionAptitude Discussion

 Q. If O is the center of the circle above, what fraction of the circular region is shaded?
 ✖ A. $\dfrac{1}{12}$ ✖ B. $\dfrac{1}{9}$ ✔ C. $\dfrac{1}{6}$ ✖ D. $\dfrac{1}{3}$

Solution:
Option(C) is correct

Vertical angles are congruent, so $150^\circ+150^\circ = 300^\circ$ of the circle is not shaded.

Since there are $360^\circ$ in a circle, this makes

$360^\circ - 300^\circ = 60^\circ$ of the circle shaded.

The fraction of the circular region that is shaded is thus

$=\dfrac{60}{360}$

$=\dfrac{1}{6}$