Question

2
the circumference of the bike tire above is 84.78 inches.
what is the radius of the bike tire? (use 3.14 for π.)
a. 266.21 in
b. 13.5 in
c. 27 in
d. 42.39 in

Explanation:

Step1: Recall the formula for the circumference of a circle

The formula for the circumference \( C \) of a circle is \( C = 2\pi r \), where \( r \) is the radius and \( \pi \) is a constant. We know \( C = 84.78 \) inches and \( \pi = 3.14 \), and we need to solve for \( r \).

Step2: Rearrange the formula to solve for \( r \)

From \( C = 2\pi r \), we can solve for \( r \) by dividing both sides by \( 2\pi \). So, \( r=\frac{C}{2\pi} \).

Step3: Substitute the given values into the formula

Substitute \( C = 84.78 \) and \( \pi = 3.14 \) into the formula: \( r=\frac{84.78}{2\times3.14} \).
First, calculate the denominator: \( 2\times3.14 = 6.28 \).
Then, divide the numerator by the denominator: \( r=\frac{84.78}{6.28}=13.5 \).

Answer:

B. 13.5 in