The circumference of a circle is 56 cm. What is the length of the minor arc subtend...
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Problem
The circumference of a circle is 56 cm. What is the length of the minor arc subtended by a 90 degree central angle?
Step-by-step solution
The arc length is a fraction of the circumference determined by the central angle. The fraction is $\frac{90^\circ}{360^\circ} = \frac{1}{4}$. Therefore, the arc length is $\frac{1}{4} \times 56 \text{ cm} = 14 \text{ cm}$.
Answer
14 cm