Lesson 13
Applying Circumference
Problem 1
Here is a picture of a Ferris wheel. It has a diameter of 80 meters.
-
On the picture, draw and label a diameter.
-
How far does a rider travel in one complete rotation around the Ferris wheel?
Solution
Teachers with a valid work email address can click here to register or sign in for free access to Formatted Solution.
Problem 2
Identify each measurement as the diameter, radius, or circumference of the circular object. Then, estimate the other two measurements for the circle.
-
The length of the minute hand on a clock is 5 in.
-
The distance across a sink drain is 3.8 cm.
-
The tires on a mining truck are 14 ft tall.
-
The fence around a circular pool is 75 ft long.
-
The distance from the tip of a slice of pizza to the crust is 7 in.
-
Breaking a cookie in half creates a straight side 10 cm long.
-
The length of the metal rim around a glass lens is 190 mm.
-
From the center to the edge of a DVD measures 60 mm.
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 half circle is joined to an equilateral triangle with side lengths of 12 units. What is the perimeter of the resulting shape?
Solution
Teachers with a valid work email address can click here to register or sign in for free access to Formatted Solution.
Problem 4
Circle A has a diameter of 1 foot. Circle B has a circumference of 1 meter. Which circle is bigger? Explain your reasoning. (1 inch = 2.54 centimeters)
Solution
Teachers with a valid work email address can click here to register or sign in for free access to Formatted Solution.
Problem 5
The circumference of Tyler's bike tire is 72 inches. What is the diameter of the tire?
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 12.)