# Two wheels of radii 2 and 6 are mutually tangent. A belt is wrapped tightly around them. What is the total length of the belt?

##### 1 Answer

Jan 4, 2018

#### Explanation:

We know that the belt will cover half the circumference of both circles, and the circumference is given by

So, we have

Now, we have the section between the circles this can be found by using Pythagorus. Since we can create a right angled triangle which has a base of the two radii,

So, we have

However, we have two of these, so the whole distance would be