A bicycle wheel is 24" diameter rotates 215 degrees. What distance has the bike traveled?

Question

anonymous · Answer

we can us the arc formula

campbell_st · Answer

the formula for the circumference is 

$$C = \pi \times d$$

the fraction of the circle that the bike wheel turns is 

$$\frac{215}{360}$$

find the circumference then multiply by the fraction

anonymous · Answer

how would I put it into the arc formula @mack7

ribhu · Answer

$$(215/360)*24\pi$$

anonymous · Answer

$$\frac{ \theta }{ 360 }\times2*\pi*r$$

anonymous · Answer

$$\theta=215$$

ribhu · Answer

here theta would be 215 degrees

anonymous · Answer

r=12

anonymous · Answer

put the value in the equation
you will get the answer

anonymous · Answer

i think it helped you

anonymous · Answer

Can you help me solve it, Im not good with fractions

anonymous · Answer

these are the steps

anonymous · Answer

ok

anonymous · Answer

please identify the best response to help others

anonymous · Answer

I'm supposed to get 45 in the end

anonymous · Answer

24 is in meter or not

anonymous · Answer

24 inches

anonymous · Answer

so first you will have to convert 24 inches to meters

campbell_st · Answer

you don't have to convert anything

read the initial post... ot explains you need 

1. to find the circumference of the wheel. 

2. multiply the answer, the circumference, by 215/360

the reason is a full revolution is 360 degrees... the fraction it turns is 215/360

try it and see if you get your answer of 45...

anonymous · Answer

I figured it out