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Answer :
Final answer:
Arc RS represents 1/6 of the entire circle. The approximate circumference of the circle is 31.4 cm, and the approximate length of arc RS is 5.24 cm.
Explanation:
When considering circle C with radius 5 cm and a central angle measure of 60°, we can determine the fraction of the entire circle that arc RS represents by comparing the angle to the full 360° of a circle. A 60° angle is ⅖ of 360°, so arc RS represents ⅖ of the whole circle.
To find the approximate circumference of the circle, we use the formula C = 2πr, where 'C' is the circumference and 'r' is the radius. Substituting the given radius, 5 cm, we get C ≈ 2π(5 cm) ≈ 31.4 cm. Finally, to find the approximate length of arc RS, we take the fraction of the circle that arc RS represents and multiply it by the circumference, so the arc length (AS) is ⅖(31.4 cm) ≈ 5.24 cm.
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