Question

problems 7–9: determine whether each measurement represents the radius, diameter or circumference, and record it in the appropriate column of the table. then determine the exact lengths of the other two measurements of the circle.

measurement | radius | diameter | circumference

1. the tires of a mining truck are 14 feet tall.

Explanation:

Step1: Identify the given measurement type

The height of a tire (a circle) is its diameter because the height from one end of the tire (on the ground) to the top is the distance across the circle through its center. So the diameter \( d = 14 \) feet.

Step2: Calculate the radius

The radius \( r \) of a circle is half of the diameter. So \( r=\frac{d}{2}=\frac{14}{2} = 7 \) feet.

Step3: Calculate the circumference

The formula for the circumference \( C \) of a circle is \( C=\pi d \) (or \( C = 2\pi r \)). Using \( d = 14 \), we get \( C = 14\pi \) feet.

Answer:

• Radius: 7 feet
• Diameter: 14 feet
• Circumference: \( 14\pi \) feet