Answer:
The ratio of the circumference to its diameter remains the same.
Step-by-step explanation:
Given,
diameter of circle = 6 inch
diameter is doubled.
New diameter of circle = 2 x 6 = 12 inch
We know that,
The Circumference of a circle is 2 π r or π d where r is the radius of the circle and d is the diameter of the circle.
Circumference of the circle when the diameter is 6 inches.
C₁ = 6π
Ratio of circumference to diameter
Ratio =
Ratio = π
When the diameter is 12 inches
C₂ = 12 π
Ratio of circumference to diameter
Ratio =
Ratio = π
Now, the correct statement is the ratio of the circumference to its diameter remains the same if the diameter is doubled.