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