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If O is the center of the circle above, what fraction of the circular region is shaded?

$\dfrac{1}{12}$
$\dfrac{1}{9}$
$\dfrac{1}{6}$
$\dfrac{1}{3}$
Explanation:

Vertical angles are congruent, so $150^{o}+150^{o}=300^{o}$ of the circle is not shaded.

Since there are $360^{o} $in a circle, this makes

$360^{o}−300^{o}=60^{o}$ of the circle shaded.

The fraction of the circular region that is shaded is thus

=$\dfrac{60}{360}$

=$\dfrac{1}{6}$

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