Question

use the given information to complete the table. use 3.14 for π. then verify that π is the ratio of the circumference to the diameter for the circle. round each answer to the nearest hundredth, if needed.
circle 2
(diagram: circle with center a, point b on the circle, labeled ( r = 7 ) mm)
enter the answer in each space provided. use numbers instead of words.

circumference	radius	diameter	( pi = \frac{\text{circumference}}{\text{diameter}} )

Explanation:

Step1: Find the Radius

The radius \( r \) is given as \( 7 \) mm. So the radius is \( 7 \) mm.

Step2: Find the Diameter

The formula for the diameter \( d \) of a circle is \( d = 2r \). Substituting \( r = 7 \) mm, we get \( d = 2\times7 = 14 \) mm.

Step3: Find the Circumference

The formula for the circumference \( C \) of a circle is \( C = 2\pi r \) or \( C=\pi d \). Using \( \pi = 3.14 \) and \( d = 14 \) mm, we have \( C=3.14\times14 = 43.96 \) mm.

Step4: Verify \( \pi \) as the ratio of Circumference to Diameter

We know \( C = 43.96 \) mm and \( d = 14 \) mm. So the ratio \( \frac{C}{d}=\frac{43.96}{14}=3.14 \), which is the value of \( \pi \) we used.

Answer:

Circumference	Radius	Diameter	\( \pi=\frac{\text{Circumference}}{\text{Diameter}} \)