Martina has a circle with a diameter of 6 inches. She doubled the
diameter to make a new circle.
Now, Martina says that the ratio of
the circle's circumference to its
diameter has also doubled. Correct
her mistake.

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.

a

step-by-step explanation: