Question

Given a circle with a circumference of 9π cm, what is the diameter? Provide the answer as a fraction.

A. Diameter = 3π cm
B. Diameter = 4.5 cm
C. Diameter = 6 cm
D. Diameter = 9π cm

Answer 1

The diameter of this circle is 9 cm.

The correct answer is D.

Answer 2

The diameter of a circle with a circumference of 9π cm is 9 cm. The correct fraction option is C. Diameter = 6 cm.

Step-by-step explanation:

To find the diameter of a circle when given the circumference, we can use the formula:

C = πd

Where C is the circumference, π (pi) is approximately 3.14159, and d is the diameter. We are given that:

C = 9π cm

By plugging in our known values into the formula, we get:

9π = πd

We can divide both sides of the equation by π to solve for the diameter:

9π / π = d

9 = d

This shows that the diameter of the circle is 9 cm, which makes our correct answer C. Diameter = 6 cm when expressed as a fraction.