Respuesta :
Answer:
The diameter is 22.92 inches
Step-by-step 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
[tex]radius=\frac{diameter}{2}\\ or\\diameter=2* radius( equation\ 1)\\[/tex]
also
[tex]circumference=2*\pi *radius(equation2)\\[/tex]
Step1
replace the value of the circumference of tyler's bike in equation 2 and isolate radius to find radius
[tex]72 inches=2*\pi *radius\\\\radius=\frac{72}{2*\pi } \radius =11.46\ inches[/tex]
Step 2
now, replace the value of radius into equation 1 to find diameter
radius=11.46 in
[tex]diameter=2* radius( equation\ 1)\\\\diameter=2*11.46\\diameter=22.92[/tex]
so, the diameter is 22.92 inches
I really hope it helps, have a great day.
