The length of a minor arc is 48 cm. What is the circumference of a circle?
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Problem
The length of a minor arc is 48 cm. What is the circumference of a circle?
Step-by-step solution
The arc length is 48 cm, which corresponds to a central angle of 60 degrees. The circumference is proportional to the angle. Since 60 degrees is 1/6 of the total 360 degrees, the circumference is 6 times the arc length: $48 \text{ cm} \times 6 = 288 \text{ cm}$.
Answer
288 cm