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 3
r = 12 in.
enter the answer in each space provided. use numbers instead of words.
circumference \t radius \t diameter \t $\pi = \frac{\text{circumference}}{\text{diameter}}$
$\square$ in. \t $\square$ in. \t $\square$ in. \t $\pi = \frac{\square}{\square} = \square$

Explanation:

Step1: Find the Radius

The radius \( r \) is given as 12 in. So, Radius = 12 in.

Step2: Find the Diameter

The formula for diameter \( d \) is \( d = 2r \). Substituting \( r = 12 \), we get \( d = 2\times12 = 24 \) in.

Step3: Find the Circumference

The formula for circumference \( C \) is \( C = 2\pi r \) or \( C=\pi d \). Using \( \pi = 3.14 \) and \( d = 24 \), we get \( C = 3.14\times24 = 75.36 \) in.

Step4: Find the Ratio \( \frac{C}{d} \)

Substitute \( C = 75.36 \) and \( d = 24 \) into \( \frac{C}{d} \). So, \( \frac{75.36}{24}=3.14 \).

Answer:

• Circumference: 75.36 in.
• Radius: 12 in.
• Diameter: 24 in.
• \( \pi=\frac{75.36}{24} = 3.14 \)