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

Question

asked Oct 17, 2018 172k views

2 Answers

Gunty · Answer 1 · 2018-10-24T05:33:13+0000

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

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

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

Find the difference of their circumferences

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

therefore

the answer is

$5\pi/8\ in$