Exploring the Circumference and Pi

This lesson covers the concept of circumference, explaining its relationship with diameter and introducing the mathematical constant pi. Through exercises, students learn to measure diameter, estimate circumference, and use pi in calculations. The lesson concludes with a summary and a preview of the next topic on calculating the area of a circle.

What is the maximum distance across a circle called?

• Circumference

• Radius

• Diameter

• Area

What is the relationship between the radius and the diameter of a circle?

• Radius is half the diameter

• There is no fixed relationship

• Radius is equal to the diameter

• Radius is twice the diameter

Tags

CCSS.7.G.B.4

Which tool can be used to measure the circumference of a circle by wrapping it around?

• Ruler

• Protractor

• String

• Compass

Tags

CCSS.2.MD.A.1

How can the circumference of a circle be visually demonstrated using a physical object?

• Cutting the circle into slices

• Drawing lines from the center to the edge

• Wrapping a string around the circle

• Measuring with a ruler directly

What is the approximate ratio of the circumference to the diameter of a circle?

• About 2

• Exactly 3

• A little more than 3

• Less than 3

Tags

CCSS.HSG.GMD.A.1

What is the nature of the number pi (π)?

• Fractional

• Integer

• Irrational

• Rational

Tags

CCSS.8.NS.A.1

What does the constant pi (π) approximately equal?

• 3.5

• 2.18

• 4.13

• 3.14

Tags

CCSS.HSG.GMD.A.1

Which of the following is a true statement about pi (π)?

• It is a rational number that terminates.

• It is an irrational number that never terminates.

• It is always exactly 3.

• It can be accurately calculated with simple division.

Tags

CCSS.8.NS.A.1

How do you calculate the circumference if you know the diameter of the circle?

• Add pi (π) to the diameter

• Multiply the diameter by 2

• Divide the diameter by pi (π)

• Multiply the diameter by pi (π)

Tags

CCSS.7.G.B.4

What is the correct way to round 392.697 to the nearest hundredth?

• 392.70

• 392.69

• 392.00

• 393.00

Tags

CCSS.5.NBT.A.4