Question

What is the arc length of the subtending arc for an angle of 60° on a circle of radius 3?

Answer 1

180

π

π3

π2

Answer 2

Those are infinity signs

Answer 3

infinity

infinity 3

infinity 2

Answer 4

arclength=radius x angle

Answer 5

^ in radians

Answer 6

\(\bf \textit{arc's length}=s=\cfrac{\theta r\pi }{180}\quad
\begin{cases}
\theta\to \textit{angle in degrees}\\
r\to radius
\end{cases}
\)

Answer 7

a?

Answer 8

You tell us.

Answer 9

You said radius times angle so is it a?

Answer 10

jdoe is it infi 3?

Answer 11

@DaWizjr that is correct, FOR a radian angle
in this case, you're using 60 degrees
thus

Answer 12

so its infi 3?

Answer 13

infi 3? hmm what does \(\bf \textit{arc's length}=s=\cfrac{\theta r\pi }{180}\quad
\begin{cases}
\theta\to \textit{angle in degrees}\\
r\to radius
\end{cases}
\)
give you anyway?

Answer 14

60rinfi/180=

Answer 15

recall that the angle is 60, and the radius is 3
thus \(\bf \textit{arc's length}=s=\cfrac{\theta r\pi }{180}\quad
\begin{cases}
\theta\to \textit{angle in degrees}\\
r\to radius
\end{cases}\qquad s=\cfrac{60\cdot 3\cdot \pi }{180}\)

Answer 16

I see now

Answer 17

so its infi

Answer 18

infi? infinity?

Answer 19

didnt multiply the radius

Answer 20

yea infinity

Answer 21

let us think about that

we have a circle, a radius of 3, an angle of 60 degrees

Answer 22

so its not infinite

Answer 23

nope..... so.... \(\bf
\begin{cases}
\theta\to \textit{angle in degrees}\\
r\to radius
\end{cases}\qquad s=\cfrac{60\cdot 3\cdot \pi }{180}\) is?

Answer 24

I got just 1 infinity

Answer 25

1 infinity? as opposed to 5 infinities?

thought there was only one... well, there's a positive and a negative in cartesian terms anyway

so... think about it... does that arc look like it goes on and has no end?

Answer 26

unless you're calling the \(\huge \pi \) infinity, is called \(\huge PI\) as opposed to "pie" btw

Answer 27

no maybe im looking at it wrong

Answer 28

\(\huge \infty\) is infinity, \(\huge \pi\) is "pi"

Answer 29

ok

Answer 30

\(\bf \textit{arc's length}=s=\cfrac{\theta r\pi }{180}\quad
\begin{cases}
\theta\to \textit{angle in degrees}\\
r\to radius
\end{cases}\qquad s=\cfrac{60\cdot 3\cdot \pi }{180}
\\ \quad \\
s=\cfrac{\cancel{180}\pi }{\cancel{180}}\implies s=\pi\implies s\approx 3.1416\)

Answer 31

yea I know pi is 3.14

Answer 32

there are even a few movies on \(\huge \pi\) btw
you may like them, is a bit longer than 3.1416 but rounded up is about that much, or 3.14

Answer 33

and then I divide and still get 3.14

Answer 34

but pi is infinity

Answer 35

hmmm \(\huge \pi\) is an irrational number, is not 3, is not 4
is more than 3
is less than 4

but is not infinite

Answer 36

so the answer is not any infinities?

Answer 37

hmmm have you covered linear simplifications yet?

Answer 38

Nah I haven't

Answer 39

ahh.. .well... then you may want to start there
I'd think this exercise doesn't apply to you then

Answer 40

Im sorry I wasnt paying attention

Answer 41

the answer is 3.14

Answer 42

pi

Answer 43

@jdoe0001

Answer 44

my fault for getting the pi symbol and infiniti symbol confused

Answer 45

@jdoe0001