Circumference of Circles in Real World Scenarios

This video tutorial covers the concept of circumference and its applications. It explains how to use the circumference formulas, C = πd and C = 2πr, to solve real-world problems. The tutorial includes six examples: calculating the circumference of a clock, a pool, a penny, roller skate wheels, a cookie cake, and a car tire. Each example demonstrates how to apply the formulas to find the circumference or distance traveled in various scenarios.

What is the formula for the circumference of a circle using its diameter?

• Circumference = 2πd

• Circumference = 2πr

• Circumference = πd

• Circumference = πr²

Tags

CCSS.7.G.B.4

Which formula would you use to find the circumference if you know the radius?

• Circumference = πd

• Circumference = πr²

• Circumference = 2πd

• Circumference = 2πr

Tags

CCSS.7.G.B.4

If the radius of a circle is 2.5 inches, what is its circumference?

• 12.56 inches

• 10 inches

• 15.7 inches

• 7.85 inches

Tags

CCSS.7.G.B.4

What is the circumference of a circle with a radius of 5 inches?

• 10π inches

• 5π inches

• 20π inches

• 15π inches

Tags

CCSS.7.G.B.4

Given a pool with a diameter of 12 feet, what is its circumference?

• 37.68 feet

• 24 feet

• 18.84 feet

• 75.36 feet

Tags

CCSS.7.G.B.4

If a penny has a diameter of 19 millimeters, what is its circumference?

• 59.66 millimeters

• 37.68 millimeters

• 28.26 millimeters

• 47.12 millimeters

Tags

CCSS.7.G.B.4

How far will Raphael travel after five full rotations of his roller skate wheels, each with a radius of 40 millimeters?

• 1256 millimeters

• 628 millimeters

• 251.2 millimeters

• 502.4 millimeters

Tags

CCSS.7.G.B.4

If a cookie cake has a diameter of 16 inches, what is its circumference?

• 25.12 inches

• 50.24 inches

• 62.8 inches

• 31.4 inches

Tags

CCSS.7.G.B.4

If the diameter of a circle is doubled, how does the circumference change?

• It remains the same

• It triples

• It quadruples

• It doubles

Tags

CCSS.7.G.B.4

What is the distance traveled by a car tire with a diameter of 28 inches after three full rotations?

• 351.68 inches

• 87.92 inches

• 175.84 inches

• 263.76 inches

Tags

CCSS.3.MD.D.8