Question

when measuring the circumference and diameter of several circles, which of the following statements is true? the ratio of the circumference to the diameter varies for each circle. the ratio of the circumference to the diameter can be different even if the circles have the same size. the ratio of the circumference to the diameter is the same for all circles. the circumference is always twice the diameter

Explanation:

Step1: Recall circle - related formula

The formula for the circumference of a circle is $C = \pi d$, where $C$ is the circumference and $d$ is the diameter.

Step2: Calculate the ratio

From $C=\pi d$, we can get $\frac{C}{d}=\pi$. Since $\pi\approx3.14159$ is a constant, the ratio of the circumference to the diameter is the same for all circles.

Answer:

The ratio of the circumference to the diameter is the same for all circles.