A circle has a radius of \blue{3}3start color #6495ed, 3, end color #6495ed. An arc in this circle has a central angle of 340^\circ340

340, degrees.
What is the length of the arc?
Either enter an exact answer in terms of \piπpi or use 3.143.143, point, 14 for \piπpi and enter your answer as a decimal.

Respuesta :

Answer:

length of arc ≈ 17.8 (to the nearest tenth)

Step-by-step explanation:

To find the length of the arc we use the formula for finding length of an arc.

length of arc = ∅/360 × 2πr

where

∅ = central angle

r  = radius

∅ = 340°

r = 3

length of arc = ∅/360 × 2πr

length of arc = 340/360 × 2 × π × 3

length of arc = 340/360 × 6π

length of arc = 2040π/360

length of arc = 204π/36

length of arc = (204 × 3.14)/36

length of arc = 640.56/36

length of arc = 17.7933333

length of arc ≈ 17.8 (to the nearest tenth)