Subjects geometry

Minor Arc Length

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1. **Problem statement:** We need to find the length of the minor arc AB of a circle with circumference 95 cm and central angle 72°. 2. **Formula:** The length of an arc $L$ is given by the formula: $$L = \frac{\theta}{360^\circ} \times C$$ where $\theta$ is the central angle in degrees and $C$ is the circumference of the circle. 3. **Given values:** - Circumference $C = 95$ cm - Central angle $\theta = 72^\circ$ 4. **Calculation:** Substitute the values into the formula: $$L = \frac{72}{360} \times 95$$ Simplify the fraction: $$\frac{72}{360} = \frac{1}{5}$$ So, $$L = \frac{1}{5} \times 95 = 19$$ 5. **Answer:** The length of the minor arc AB is $19$ cm.