Answer:
The equation which shows how the relationship between the circumference and the diameter of this circle is equivalent to π is π = [tex]\frac{C}{5}[/tex] ⇒ answer C
Step-by-step explanation:
In any circle there is a constant ratio between the circumference of the circle and its diameter
This constant ratio is called π
∵ The formula of the circumference of a circle is C = π d,
where d is the diameter of the circle
- Divide both sides by d
∴ [tex]\frac{C}{d}[/tex] = π
- Switch the two sides
∴ π = [tex]\frac{C}{d}[/tex]
∵ The diameter of the circle is 5 centimeters
∴ π = [tex]\frac{C}{5}[/tex]
The equation which shows how the relationship between the circumference and the diameter of this circle is equivalent to π is π = [tex]\frac{C}{5}[/tex]