Lesson 04: Applying Circumference | Unit 3: Measuring Circles

Draw

On the picture of the Ferris wheel, draw and label a diameter.

Multiple Choice

How far does a rider travel in one complete rotation around the Ferris wheel?

• Diameter of the Ferris wheel in units of length.
• Height of the Ferris wheel in units of length.
• Circumference of the Ferris wheel (C = 2 * π * r) in units of length.
• Total number of seats on the Ferris wheel.

Multiple Choice

Identify the measurement of the minute hand on a clock as the diameter, radius, or circumference of the circular object. The length of the minute hand is 5 inches. Then, estimate the other two measurements for the circle.

• Radius: 5 inches, Diameter: 10 inches, Circumference: approximately 31.42 inches.
• Radius: 10 inches, Diameter: 5 inches, Circumference: approximately 15.71 inches.
• Radius: 2.5 inches, Diameter: 5 inches, Circumference: approximately 15.71 inches.

Multiple Choice

Identify the measurement of the fence around a circular pool as the diameter, radius, or circumference of the circular object. The fence is 75 feet long. Then, estimate the other two measurements for the circle.

• Circumference: 75 feet, Radius: approximately 11.94 feet, Diameter: approximately 23.88 feet.
• Circumference: 100 feet, Radius: approximately 15.92 feet, Diameter: approximately 31.84 feet.
• Circumference: 80 feet, Radius: approximately 12.73 feet, Diameter: approximately 25.46 feet.

Multiple Choice

Identify the measurement of the tires on a mining truck as the diameter, radius, or circumference of the circular object. The tires are 14 feet tall. Then, estimate the other two measurements for the circle.

• Diameter: 10 feet, Radius: 5 feet, Circumference: approximately 31.42 feet
• Diameter: 14 feet, Radius: 7 feet, Circumference: approximately 43.98 feet
• Diameter: 16 feet, Radius: 8 feet, Circumference: approximately 50.27 feet

Multiple Choice

Identify the measurement of the distance from the tip of a slice of pizza to the crust as the diameter, radius, or circumference of the circular object. The distance is 7 inches. Then, estimate the other two measurements for the circle.

• Diameter: 14 inches, Circumference: approximately 43.96 inches
• Diameter: 7 inches, Circumference: approximately 21.99 inches
• Diameter: 10 inches, Circumference: approximately 31.42 inches

Multiple Choice

Identify the measurement of the straight side created by folding a tortilla in half as the diameter, radius, or circumference of the circular object. The straight side is 16 centimeters long. Then, estimate the other two measurements for the circle.

• Diameter: 18 cm, Radius: 9 cm, Circumference: approximately 56.55 cm
• Diameter: 16 cm, Radius: 8 cm, Circumference: approximately 50.27 cm
• Diameter: 12 cm, Radius: 6 cm, Circumference: approximately 37.70 cm

Multiple Choice

Identify the measurement of the metal rim around a glass lens as the diameter, radius, or circumference of the circular object. The length of the metal rim is 190 millimeters. Then, estimate the other two measurements for the circle.

• Diameter: 70 mm, Radius: 35 mm, Circumference: 200 mm
• Diameter: 60.5 mm, Radius: 30.25 mm, Circumference: 190 mm
• Diameter: 50 mm, Radius: 25 mm, Circumference: 150 mm

Multiple Choice

What is the perimeter of a shape formed by joining a half circle to an equilateral triangle with side lengths of 12 units, where the triangle's base is the diameter of the half circle?

• 12 + 6π
• 12 + 3π
• 24
• 18 + 4π

Open Ended

Circle A has a diameter of 1 foot. Circle B has a circumference of 1 meter. Which circle is bigger? Explain your reasoning. (1 inch = 2.54 centimeters)