What is the arc length when theta = 3pi/5 and the radius is 7 cm?

21pi/5 cm

12pi/5 cm

6pi/5 cm

3pi/35 cm

Answer: 21pi / 5

Step-by-step explanation:

Given the following:

Theta (θ) = 3π / 5

radius (r) = 7cm

The length of an arc is calculated using the formula:

(θ / 360) * 2πr

Inputting the provided values into our formula;

θ = 3π/5 = (3 * 180) ° / 5 = 540°/5 = 108°

Length = (108 / 360) ° * 2π * 7

Length = (3/10) * 14π

Length = 42π / 10

Length = 21π / 5 cm