arcs and sectors key Example 1: Calculating arc length Suppose a circle has a radius of 10 meters, and the central angle is 60 degrees. Convert degrees to radians: \( \theta = \frac{60}{180} \pi = \frac{\pi}{3} \) Arc length: \( L = r \times \theta = 10 \times \frac{\pi}{3} \approx 10.47 \text{ meters} \ B Boris Mueller PhD Jul 3, 2026
arcs and angles answers uestion 3: What is the length of an arc if the radius and central angle are known? Solution: Use the arc length formula: Arc length = (θ/360°) × 2πr Suppose r = 10 cm and θ = 90°: Arc length = (90/360) × 2π × 10 = (¼) M Mr. Roman Ziemann Feb 15, 2026
