length of minor arc xy in a circle with radius 23 cm and central angle 120 degrees
Check the final answer first, then review the worked steps.
Problem
length of minor arc xy in a circle with radius 23 cm and central angle 120 degrees
Step-by-step solution
The arc length is calculated using the formula $L = \frac{\theta}{360^{\circ}} \times 2\pi r$. Substituting the given values, $L = \frac{120^{\circ}}{360^{\circ}} \times 2\pi (23) = \frac{1}{3} \times 46\pi \approx 48.17$ cm.
Answer
48 cm