Express the required measurement in exact form a bicycle wheel with radius 26 inches rotates through an arc that measures 80° what is the length of the arc of the tire that touch the ground

Question

mhchen · Answer

So you are given the radius, 26in.
An angle, 80 deg.

1. Find the ratio of the angle measure to the entire angle, which is 80/360
2. Find the circumference, which is 2 * pi * radius

Now given these, you can do a PROPORTION, right?
$$\frac{anglè}{360} = \frac{arc}{circumference}$$

mhchen · Answer

$$\frac{80}{360} = \frac{arc}{2*\pi*26}$$

jamesreed30 · Answer

Okay so what would I do next? @mhchen

mhchen · Answer

Can you solve the 'arc' in the proportion above?

jamesreed30 · Answer

Divide 360 by 80?

mhchen · Answer

erm....like this:

mhchen · Answer

So you remember the proportion I made above right? If we multiple both sides by 2pi*radius, we get:

$$\frac{80 * (2*\pi*26)}{360} = arc$$

jamesreed30 · Answer

Okay I get that part &I also sorry Ima bit slow with this stuff this is all new to me