Question

Arc Length

Answer 1

Hey hey hey

Answer 2

arc length = \(\dfrac{\theta}{360} 2\pi r\)

Answer 3

so plug in r = 11

and your angle \(\theta\) is 48

Answer 4

Huh

Answer 5

Okay, so the concept of arc length is simple

Do you know what circumference is or what it means?

Answer 6

Yes

Answer 7

it's just the length or perimeter of the entire circle, right?

arc length is just the length of one part of the circle

Answer 8

so the entire black part is the circumference

but when we cut a slice in our circle, we get that green border

that's the arc length

and to calculate that, we have that formula I posted above

and it makes a whole lot of sense

the entire circumference is 2 *pi * r

but the length of a segment of the circumference is going to be dependent on the angle

and there's a total of 360 degrees in a circle so we have to divide the angle by 360
and then multiply it by the circumference
so that we can get the length of the arc length

Answer 9

I got 0?

Answer 10

how?

Answer 11

\(\text{arc length} = \dfrac{\theta}{360} \times 2 \pi r\)

\( \theta\) or theta or the angle is 48

r is 11

\(\text{arc length} = \dfrac{48}{360} \times 2 \pi \times 11\)

Answer 12

9.21

Answer 13

9.22?

Answer 14

You got it!

Yeah, you can round to 9.22

Answer 15

Thank you

Answer 16

You're welcome!