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 5
(diagram: circle with center a, point c on the circle, radius labeled r = 2.5 m)
enter the answer in each space provided. use numbers instead of words.
table with columns: circumference (m), radius (m), diameter (m), ( pi = \frac{\text{circumference}}{\text{diameter}} ) (with empty boxes for input)

Explanation:

Step1: Find the Radius

The radius \( r \) is given as \( 2.5 \) m. So the radius value is \( 2.5 \).

Step2: Find the Diameter

The formula for the diameter \( d \) of a circle is \( d = 2r \). Substituting \( r = 2.5 \) m, we get \( d = 2\times2.5 = 5 \) m.

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 \( r = 2.5 \) m, we have \( C = 2\times3.14\times2.5 \). First, calculate \( 2\times2.5 = 5 \), then \( 3.14\times5 = 15.7 \) m.

Step4: Verify \( \pi \) as the ratio

The ratio of circumference to diameter is \( \frac{C}{d} \). Substituting \( C = 15.7 \) m and \( d = 5 \) m, we get \( \frac{15.7}{5}=3.14 \), which is the value of \( \pi \) we used.

Answer:

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