Question

Martina has a circle with a diameter

Answer 1

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 = $\dfrac{6\pi}{6}$

Ratio =  π

When the diameter is 12 inches

C₂ = 12 π

Ratio of circumference to diameter

Ratio = $\dfrac{12\pi}{12}$

Ratio =  π

Now, the correct statement is the ratio of the circumference to its diameter remains the same if the diameter is doubled.