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The questions below are posed in order to help you think about how to find the number of degrees in (13 pi)/(18) radians. What fraction of a semicircle is an angle that measures (13 pi)/(18) 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 13π18 \frac{13 \pi}{18} radians.\newlineWhat fraction of a semicircle is an angle that measures 13π18 \frac{13 \pi}{18} 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 13π18 \frac{13 \pi}{18} radians.\newlineWhat fraction of a semicircle is an angle that measures 13π18 \frac{13 \pi}{18} radians? Express your answer as a fraction in simplest terms.
  1. Definition of Semicircle: A semicircle is half of a circle, and a full circle is 2π2\pi radians. Therefore, a semicircle is π\pi radians.
  2. Calculate Fraction: To find the fraction of a semicircle that an angle of (13π)/(18)(13 \pi)/(18) radians represents, we divide the angle by π\pi radians.\newlineFraction of a semicircle = ((13π)/(18))/π((13 \pi)/(18)) / \pi
  3. Simplify Fraction: Simplify the fraction by canceling out π\pi in the numerator and the denominator.\newlineFraction of a semicircle = 1318\frac{13}{18}
  4. Final Result: The fraction (13/18)(13/18) is already in its simplest form, as 1313 and 1818 have no common factors other than 11.

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