Lesson 12
Exploring Circumference
Problem 1
Diego measured the diameter and circumference of several circular objects and recorded his measurements in the table.
| object | diameter (cm) | circumference (cm) |
|---|---|---|
| half dollar coin | 3 | 10 |
| flying disc | 23 | 28 |
| jar lid | 8 | 25 |
| flower pot | 15 | 48 |
One of his measurements is inaccurate. Which measurement is it? Explain how you know.
Solution
Teachers with a valid work email address can click here to register or sign in for free access to Formatted Solution.
Problem 2
Complete the table. Use one of the approximate values for \(\pi\) discussed in class (for example 3.14, \(\frac{22}{7}\), 3.1416). Explain or show your reasoning.
| object | diameter | circumference |
|---|---|---|
| hula hoop | 35 in | |
| circular pond | 556 ft | |
| magnifying glass | 5.2 cm | |
| car tire | 71.6 in |
Solution
Teachers with a valid work email address can click here to register or sign in for free access to Formatted Solution.
Problem 3
\(A\) is the center of the circle, and the length of \(CD\) is 15 centimeters.
- Name a segment that is a radius. How long is it?
- Name a segment that is a diameter. How long is it?
Solution
Teachers with a valid work email address can click here to register or sign in for free access to Formatted Solution.
(From Unit 5, Lesson 11.)Problem 4
-
Consider the equation \(y=1.5x +2\). Find four pairs of \(x\) and \(y\) values that make the equation true. Plot the points \((x, y)\) on the coordinate plane.
- Based on the graph, can this be a proportional relationship? Why or why not?
Solution
Teachers with a valid work email address can click here to register or sign in for free access to Formatted Solution.
(From Unit 5, Lesson 7.)