Use the arc length formula and the given information to find r. Show your work for full credit.
s = 8.1 ft θ = pi/3 rad r = ?

Question

Use the arc length formula and the given information to find r. Show your work for full credit.
s = 8.1 ft θ = pi/3 rad r = ?

anonymous · Answer

@amistre64 @Michele_Laino

563blackghost · Answer

We will use the formula...$$s=r \theta $$
We first input what we know...

anonymous · Answer

So we have 8.1=r(pi/3)

anonymous · Answer

I am just not sure where to go from here

563blackghost · Answer

Correct! So we need to now simplify se we are left with r.... so we will do this$$\frac{ 8.1 }{ \pi /3 }$$

anonymous · Answer

Okay, do we simplify the bottom so that we have a number to divide by?

anonymous · Answer

pi/3=1.04?

563blackghost · Answer

Yup! And then what you get you will divide by 8.1 to get r.

anonymous · Answer

Okay! So I got r=7.78

563blackghost · Answer

Yup! I would use a calculator to be able to find the exact simplification of pi divided by 3 because if you round you will get 7.78 which close but the answer is 7.73493...

anonymous · Answer

Okay thank you so much!

563blackghost · Answer

Np xD Glad to help!

"Thank You" for asking the question! xD