Answer:
12 inches
First choice
Step-by-step explanation:
Solve using the formula for circumference.
C = 2πr
"C" is the circumference, which we know C = 75 in.
π = 3.14 in this problem.
"r" is the radius, which we are finding.
Substitute the numbers you know for the variables of the formula.
C = 2πr
(75in) = 2(3.14)r
Since we are finding "r", we need to isolate it. If we divide the right side by 2(3.14), it cancels out and "r" will be alone.
[tex]\frac{75in}{2*3.14} = \frac{2*3.14*r}{2*3.14}[/tex]
[tex]\frac{75in}{2*3.14} = r[/tex]
Put the variable on the left side for standard formatting.
[tex]r = \frac{75in}{2*3.14}[/tex] Now simplify the fraction.
[tex]r = \frac{75in}{6.28}[/tex] 2 times 3.14 is 6.28
[tex]r = \frac{75in}{6.28}[/tex] Divide the top by the bottom
r = 11.9426752 in Exact decimal answer
r ≈ 12in Rounded answer to nearest inch
