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The questions below are posed in order to help you think about how to find the number of degrees in 
(4pi)/(3) radians.
What fraction of a semicircle is an angle that measures 
(4pi)/(3) 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 4π3 \frac{4 \pi}{3} radians.\newlineWhat fraction of a semicircle is an angle that measures 4π3 \frac{4 \pi}{3} radians? Express your answer as a fraction in simplest terms.

Full solution

Q. The questions below are posed in order to help you think about how to find the number of degrees in 4π3 \frac{4 \pi}{3} radians.\newlineWhat fraction of a semicircle is an angle that measures 4π3 \frac{4 \pi}{3} radians? Express your answer as a fraction in simplest terms.
  1. Circle and Semicircle Relationship: A semicircle is half of a circle, and a full circle is 2π2\pi radians. So, a semicircle is π\pi radians.
  2. Calculate Fraction Representation: To find the fraction of a semicircle that (4π)/(3)(4\pi)/(3) radians represents, divide (4π)/(3)(4\pi)/(3) by π\pi.\newline(4π)/(3)÷π=4/3(4\pi)/(3) \div \pi = 4/3

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