Question

Solve using S=r(theta)

Radius Central Angle Arc length
? pi/3 3/2 m

Answer 1

its 3/2=pi/3(r) i dont know how to find r

Answer 2

@robtobey please please please help me

Answer 3

i obviously know that i have to get r by itself but i dont know how cause the pi is confusing me.

Answer 4

@jim_thompson5910

Answer 5

@jim_thompson5910

Answer 6

so you want to solve
\[\Large \frac{3}{2} = \frac{\pi}{3}r\] for r?

Answer 7

if so, multiply both sides by the reciprocal of pi/3

\[\Large \Large \frac{3}{2} = \frac{\pi}{3}r\]
\[\Large \Large \color{red}{\frac{3}{\pi}}*\frac{3}{2} = \color{red}{\frac{3}{\pi}}*\frac{\pi}{3}r\]

Answer 8

i just keep getting a decimal.

Answer 9

oooooooooo..... 9/2pi

Answer 10

yeah I'd leave it as a fraction and leave it in terms of pi

Answer 11

\[\pi d=\text{circumfrence} \]\[\pi 2 r=\text{circumfrence} \]\[\frac{\pi 2 r}{6}=\frac{\text{circumfrence}}{6} \]\[\frac{\pi 2 r}{6}=\frac{3}{2} \]Solve for r.

Answer 12

\[\Large r = \frac{9}{2\pi}\]

Answer 13

That is what Mathematica calculated.