Lesson 03: Exploring Circumference | Unit 3: Measuring Circles

Open Ended

Diego measured the diameter and circumference of several circular objects and recorded his measurements in the table. One of his measurements is inaccurate. Which measurement is it? Explain how you know.

Open Ended

Complete the table. Use one of the approximate values for $$\pi$$ discussed in class (for example 3.14, $$\frac{22}{7}$$ , 3.1416).

Calculate the circumference and explain or show your reasoning.

Multiple Choice

The circumference of Tyler's bike tire is 72 inches. What is the diameter of the tire?

• 25 inches
• 20 inches
• 30 inches
• 22.92 inches

Multiple Choice

Circle A has circumference $$2\frac23$$ m. Circle B has a diameter that is $$1\frac12$$ times as long as Circle A’s diameter. What is the circumference of Circle B?

• 4 m
• 6 m
• 5 m
• 3 m

Multiple Choice

Point $$A$$ is the center of the circle, and the length of $$EB$$ is 13 centimeters. What is the radius of this circle?

• 6.5 cm
• 7 cm
• 10 cm
• 5 cm

Multiple Choice

Point $$A$$ is the center of the circle, and the length of $$EB$$ is 13 centimeters. What is the circumference of this circle?

• 50.24 cm
• 78.54 cm
• 100.00 cm
• 81.68 cm

Multiple Choice

The graph shows the relationship between the diameter and the circumference of a circle with the point $$(1,\pi)$$ shown. Which of the following points is also on the line?

• (3, 3π)
• (0, 0)
• (2, 2π)
• (4, 4π)

Open Ended

Could 7.2 inches and 28 inches be the diameter and circumference of the same circle? Explain why or why not.