Question

1. if a central angle measures 2π/5 radians in a circle with radius 5 cm, what is the arc length?

a. 5π cm
b. 3π cm
c. 2π cm
d. 10π cm

Explanation:

Step1: Recall arc length formula

Arc length \( s = r\theta \) (θ in radians)

Step2: Substitute values

\( r = 5 \, \text{cm}, \theta = \frac{2\pi}{5} \)
\( s = 5 \times \frac{2\pi}{5} = 2\pi \, \text{cm} \)

Answer:

c. 2π cm