Question

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?

Answer 1

It is 17/3 pi

Explanation:

I know this is already answered, but I have this same question on Khan Academy, and I entered the number on the answer here, but it says the length of the arc is 17/3 pi. And, yes, you can put the 'pi' symbol in Khan, it accepts it as an answer.

Answer 2

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)

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)