The circumference of Tyler's bike tire is 72 inches. What is the diameter of the tire?

Question

asked Jul 11, 2020 7.1k views

2 Answers

Phantom · Answer 1 · 2020-07-15T17:26:35+0000

Answer:

The diameter is 22.92 inches

Explanation:

Hello, I can help you with this question

in this case we know the circumference of a circle, and we need to find out the diameter.

let's remember

the radius of a circle can be defined as

$radius=(diameter)/(2)\\ or\\diameter=2* radius( equation\ 1)\\$

also

$circumference=2*\pi *radius(equation2)\\$

Step1

replace the value of the circumference of tyler's bike in equation 2 and isolate radius to find radius

$72 inches=2*\pi *radius\\\\radius=(72)/(2*\pi ) \radius =11.46\ inches$

Step 2

now, replace the value of radius into equation 1 to find diameter

radius=11.46 in

$diameter=2* radius( equation\ 1)\\\\diameter=2*11.46\\diameter=22.92$

so, the diameter is 22.92 inches

I really hope it helps, have a great day.