Question

How much longer is a 1-inch button than a 3/8-inch button?

Answer 1

5/8 inches longer since 8/8 - 3/8 = 5/8

Answer 2

we know that

The button has the shape of a circle

the circumference of a circle is equal to

`C=\pi D`

where

D is the diameter of a circle

Step
`1`

Find the circumference of the 1-inch button

In this case we have that the diameter is equal to

`D1=1\ in`

substitute the value in the formula

`C1=\pi*1= \pi\ in`

Step
`2`

Find the circumference of the 3/8-inch button

In this case we have that the diameter is equal to

`D2=3/8\ in`

substitute the value in the formula

`C2=\pi*3/8= 3\pi/8\ in`

Step
`3`

Find the difference of their circumferences

`C1-C2=\pi-3\pi/8=5\pi/8\ in`

therefore

the answer is

`5\pi/8\ in`