drewjagos04 drewjagos04
  • 03-07-2020
  • Mathematics
contestada

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

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fichoh
fichoh fichoh
  • 08-07-2020

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

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