Answer: OPTION C.
π = [tex]\frac{C}{13}[/tex]
Step-by-step explanation:
To find the expression that best represents the value of π if the circumference of a circle is C centimeters and the diameter of the circle is 13 centimeters, we will follow the steps below;
Write the formula for finding the circumference of a circle
c = 2π r
where c is the circumference of the circle and r is the radius of the circle
from the question given, diameter d is 13 cm
but d= 2r which implies r=d/2
r = 13/2
c = 2πr
c=2×π×[tex]\frac{13}{2}[/tex]
At the right-hand side of the equation, 2 will cancel-out 2
c= 13π
divide both-side of the equation by 13
[tex]\frac{C}{13}[/tex] = π
π = [tex]\frac{C}{13}[/tex]
