Question

Is this the correct formula for arc length?
Arc length = 2ttr x central angle/360 degrees

Answer 1

@Smartestbruh do you know if it is right?

Answer 2

what is 2ttr ?

Answer 3

hold on let me check

Answer 4

I am not sure but it is what i found in my lesson 2TTr

Answer 5

ok, that is
\[ s = 2 \pi r \frac{\theta}{360} \]
the TT is really pi \( \pi\)

Answer 6

Oh ok got it! thank you! idk why i thought it was TT lol

Answer 7

people use a Greek letter pi for a "special" number
3.14159.... (it goes on forever)

Answer 8

what is the s= for? is it not arc length?

Answer 9

and oh ok.

Answer 10

yes, s is "arc length" In calculus, people use s (short for spatium, Latin for length). Back in the time of Newton, when they invented this stuff, all the educated people used Latin

Answer 11

Oh alright so they are the same thing. ok that makes sense. Well Thank you so much!

Answer 12

your equation is correct, as long as you measure the central angle in degrees. If you use radians (another way to measure angles)
the arc length formula simplifies to
\[ s = r \ \theta\]
theta in radians

Answer 13

alright. Thank you.