Circumference and Diameter of Circles

The video tutorial covers the application of circumference in various contexts. It begins with a warm-up question about finding the radius of a circle given its circumference. The lesson then explains the relationship between circumference, diameter, and radius, using practical examples like wagon wheels and propellers. Students solve problems involving rotations and calculate distances around a running track, emphasizing the importance of understanding circumference in real-world scenarios.

If a circle has a circumference of 15π, what is its radius?

• 7.5

• 30

• 15

• 3.75

What does the 3 feet measurement represent in the wagon wheel?

• Radius

• Circumference

• Area

• Diameter

How do you find the circumference if you know the diameter?

• Divide by π

• Multiply by π

• Divide by 2

• Multiply by 2

What is the diameter of a circle if its radius is 24 inches?

• 24 inches

• 12 inches

• 72 inches

• 48 inches

How far does a bug travel if it sits on the tip of a propeller blade for five rotations, given the circumference is 48π?

• 240π

• 48π

• 150.80

• 754

What is the total distance around the inside of a running track with a rectangle and two half circles?

• 73 meters

• 84.39 meters

• 398.12 meters

• 229.34 meters

If the width of the track is 9.76 meters, what is the new diameter of the outer circle?

• 9.76 meters

• 84.39 meters

• 92.52 meters

• 73 meters

How do you calculate the circumference of a circle if you know the diameter is 92.52 meters?

• Multiply by 2

• Multiply by π

• Divide by 2

• Add 9.76

What is the circumference of the outer edge of the track?

• 459.44 meters

• 398.12 meters

• 229.34 meters

• 290.66 meters

What is the total distance around the outside of the track?

• 229.34 meters

• 398.12 meters

• 459.44 meters

• 290.66 meters