Question

1. how long is the arc for an angle of 135° in a circle with a radius of 5 feet?

○ 11.78 ft
○ 2.32 ft
○ 84.94 ft
○ 23.24 ft

Explanation:

Step1: Convert degrees to radians

$\theta = 135^\circ \times \frac{\pi}{180^\circ} = \frac{3\pi}{4}$ radians

Step2: Apply arc length formula

Arc length $s = r\theta = 5 \times \frac{3\pi}{4} = \frac{15\pi}{4} \approx 11.78$ ft

Answer:

11.78 ft