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?

Complete question:

A circle has a radius of 3 and a central angle of 340 degrees, what is the arc length? Round to the nearest tenth place.

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)