Circles and Revolutions

Blake is cutting circles out of construction paper. Each circle has a radius of 6 inches. How much paper will he use to cut 10 circles (round your answer to the nearest tenth of a square inch)? Use 3.14 for 𝜋.

• 37.7 in²

• 376.8 in²

• 113.0 in²

• 1130.4 in²

A wagon wheel has a diameter of 5 feet. What is the circumference of the wagon wheel to the nearest tenth of a foot?

Use 3.14 for 𝜋.

• 15.7 ft

• 31.4 ft

• 78.5 ft

• 314 ft

The top of a pickle jar has an opening with a radius of 8 centimeters. What is the circumference of the opening of the pickle jar to the nearest hundredth of a centimeter?

Use 3.14 for 𝜋.

• 12.56 cm

• 25.12 cm

• 50.24 cm

• 200.96 cm

Lily is making party favors by placing a circular disk in the bottom of a plastic bag. Each disk has a diameter of 6 centimeters. What is the area of the disk to the nearest hundredth of square centimeter?

Use 3.14 for 𝜋.

• 18.84 cm²

• 28.26 cm²

• 91.06 cm²

• 113.04 cm²

A button has a radius of 5 millimeters. What is the circumference of the button rounded to the nearest tenth of a millimeter?

Use 3.14 for 𝜋.

• 7.9 mm

• 15.7 mm

• 31.4 mm

• 78.5 mm

A large pizza has a diameter of 14 inches. A medium pizza has a diameter of 10 inches. How much larger is the area of the large pizza than the area of the medium pizza? Round your answer to the nearest hundredth of an inch. Use 3.14 for 𝜋.

• 12.56 in²

• 50.24 in²

• 75.36 in²

• 78.50 in²

• 153.86 in²

The diameter of the wheel on Wade's El Camino is 15 inches. If the wheel made 5 complete revolutions, how far would the wheel have rolled?

Round your answer to the nearest hundredth of an inch.

Use 3.14 for 𝜋.

• 23.55 in

• 47.10 in

• 117.75 in

• 235.50 in

The circumference of the wheel on Roy's bicycle is 225 in. What would you do to determine the radius of the wheel?

• Divide the circumference by 𝜋.

• Divide the circumference by 𝜋 to find the diameter; then divide the diameter by 2 to find the radius.

• Multiply the circumference by 𝜋.

• Multiply the circumference by 𝜋 to find the diameter; then divide the diameter by 2 to find the radius.

What would you do to determine the diameter of the clock?

• Divide the circumference by 𝜋.

• Divide the circumference by 𝜋 to determine the radius; then divide the radius by 2.

• Divide the circumference by 𝜋 to determine the radius; then multiply the radius by 2.

• Multiply the circumference by 𝜋 .