Answer:
Step-by-step explanation:
c = πd
75 = 3.14d
Divide both sides by 3.14
23.89 = d
Rounded
24 inches
Answer:
[tex]\boxed {\boxed {\sf 24 \ inches}}}[/tex]
Step-by-step explanation:
We want to find the diameter of the tire given the distance traveled in 1 full rotation.
The circumference of a circle is the distance all the way around. If a wheel or tire makes 1 full rotation, the distance traveled is equal to the circumference.
The circumference is the product of pi and the diameter.
[tex]c=\pi \times d[/tex]
We know the circumference (distance traveled in 1 full rotation) is 75 inches. We can substitute this value for c.
[tex]75 \ in =\pi \times d[/tex]
We want to find the diameter, so the variable must be isolated. It is being multiplied by pi. The inverse of multiplication is division, so we divide both sides by pi.
[tex]\frac {75 \ in}{\pi}= \frac{\pi \times d}{\pi}[/tex]
[tex]\frac {75 \ in}{\pi}=d[/tex]
[tex]23.8732415 \ in=d[/tex]
Round to the nearest inch. The 8 in the tenths place tells us to round the 3 up to a 4.
[tex]24 \ in \approx d[/tex]
The diameter of the tire is approximately 24 inches.
