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)
Answer:
It is 17/3 pi
Step-by-step 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.
