Question

For a circle of radius 8 feet, find the arc length s subtended by a central angle of 10 degrees.

Answer 1

The angle of 10 degrees is 10/360 = 1/36 of a complete circle

So the arc length will be 1/36 of the circumference

Answer 2

Remember, the formula for the circumference is

C = 2*pi*r

Answer 3

^okay?

Answer 4

That wasn't the answer I was looking for @jim_thompson5910 but thank you

Answer 5

what did you get

I cut myself short because I didn't want to do all of it

Answer 6

and I wanted to let you do some and see what you get

Answer 7

Well I'm given a choice between 4 answers and they are s=16/9 pi feet, s=8/9 pi feet, s=4/9 pi feet, and s=2/9 pi feet

Answer 8

If the radius is 8 ft, then the circumference is what

Answer 9

use C = 2*pi*r

Answer 10

plug in r = 8 and leave the pi as it is and simplify

Answer 11

50.27=C?

Answer 12

leave the pi alone (ie don't replace it with 22/7 or 3.14 or anything like that)

we leave the pi as it is because the answer has a pi in it

Answer 13

C = 2*pi*r

C = 2*pi*8

C = 2*8*pi

C = 16*pi

Answer 14

That's the exact distance around the circle

the arc length s will be exactly 1/36th of this distance, so you just multiply 1/36 by 16pi and you get _____

Answer 15

16/9 pi feet?

Answer 16

16pi*(1/36) = 16pi/36 = ???

Answer 17

basically you reduce 16/36 and then you tack on a "pi" at the end

Answer 18

ohhhh my bad got ahead of myself there cx 4/9 pi feet

Answer 19

you got it

Answer 20

yay thank you n.n

Answer 21

you're welcome