Aptitude 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

\(=\dfrac{60}{360}\)

\(=\dfrac{1}{6}\)