Question

How much longer is a button of length `1` inch than a button of length `3/8` inch?

Answer 1

`1` inch button is longer by `0.3125` inches in every direction since a button is a circle.

Explanation:

`3/8` in fractions is `0.375` .

Therefore button 2 has a diameter of `0.375` inches.

Now `1-0.375=0.625`

Now take button 2 and overlap it on button 1 such that they make concentric circles.
You will notice that equal parts are left out in all directions. Lets take the length of these parts as `x`

therefore,

`2x=0.625`

`x=0.625/2`

`x=0.3125`

Answer 2

`5/8` inch longer

Explanation:

The 'length' of a button would refer to its diameter (assuming it is round) - it would be impractical to give the length as the radius.

Simply find the difference in length..

`1-3/8`

`= 8/8-3/8`

`= 5/8` inch longer