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the circle has center OO, and the measure of angle ROSROS is 7272 degrees. The length of minor RSRS is what fraction of the circumference of the circle

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Q. the circle has center OO, and the measure of angle ROSROS is 7272 degrees. The length of minor RSRS is what fraction of the circumference of the circle
  1. Identify Relationship: Identify the relationship between the central angle and the arc length.\newlineThe length of an arc is proportional to the angle it subtends at the center of the circle. The formula to find the arc length LL is L=(θ/360)×CL = (\theta/360) \times C, where θ\theta is the central angle in degrees and CC is the circumference of the circle.
  2. Calculate Fraction: Calculate the fraction of the circumference that the arc length represents.\newlineSince the measure of angle ROSROS is 7272 degrees, the length of minor arc RSRS is (72/360)(72/360) of the circumference of the circle.
  3. Simplify Fraction: Simplify the fraction. (72/360)(72/360) simplifies to (1/5)(1/5) when both the numerator and denominator are divided by 7272.
  4. State Final Answer: State the final answer.\newlineThe length of minor arc RSRS is 15\frac{1}{5} of the circumference of the circle.

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