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$The questions below are posed in order to help you think about how to find the number of degrees in (pi)/(6) radians. What fraction of a semicircle is an angle that measures (pi)/(6) radians? Express your answer as a fraction in simplest terms.$

The questions below are posed in order to help you think about how to find the number of degrees in $\frac{\pi}{6}$ radians. $\newline$ What fraction of a semicircle is an angle that measures $\frac{\pi}{6}$ radians? Express your answer as a fraction in simplest terms.

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Q. The questions below are posed in order to help you think about how to find the number of degrees in

\frac{\pi}{6}

radians.

\newline

What fraction of a semicircle is an angle that measures

\frac{\pi}{6}

radians? Express your answer as a fraction in simplest terms.

Convert to Fraction: An angle of $(\pi)/(6)$ radians is being compared to a semicircle. A semicircle is half of a full circle, and a full circle is $(2 \times \pi)$ radians. To find the fraction of a semicircle that $(\pi)/(6)$ radians represents, we divide $(\pi)/(6)$ by $(\pi)$ , which is the measure of a semicircle in radians. $\newline$ Calculation: $(\pi)/(6) / (\pi) = 1/6$
Simplify Fraction: We have found that $(\pi)/(6)$ radians is $1/6$ of a semicircle. Now we need to express this fraction in simplest terms. Since $1/6$ is already in its simplest form, no further simplification is needed.