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Answer :
Final answer:
The fraction of the whole circle that arc RS represents is 1/6. The approximate circumference of the circle is 31.4 cm. The approximate length of arc RS is 5.24 cm.
Explanation:
The fraction of the whole circle that arc RS represents can be found by comparing the measure of the central angle R C S to the measure of a full circle, which is 360 degrees. In this case, the central angle measure is 60 degrees, so the fraction of the whole circle that arc RS represents is 60/360, which simplifies to 1/6.
The circumference of a circle can be found using the formula C = 2πr, where r is the radius. In this case, the radius is 5 cm. So, the approximate circumference of the circle is approximately 2 × 3.14 × 5, which simplifies to approximately 31.4 cm.
The length of an arc can be found using the formula L = 2πr (θ/360), where r is the radius and θ is the measure of the central angle. In this case, the radius is 5 cm and the central angle measure is 60 degrees.
So, the approximate length of arc RS is approximately 2 × 3.14 × 5 (60/360), which simplifies to approximately 5.24 cm.
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Rewritten by : Jeany
