IM 7.3.4 Lesson: Applying Circumference
Here are some pictures of circular objects, with measurement tools shown. The measurement tool on each picture reads as follows:
For each picture, which measurement is shown?
Based on this information, what measurement(s) could you estimate for each picture?
In the previous activity, we looked at pictures of circular objects. One measurement for each object is listed in the table. Your teacher will assign an approximation for pi for you to use in this activity. Complete the table.
A bug was sitting on the tip of the propeller blade when the propeller started to rotate. The bug held on for 5 rotations before flying away.
How far did the bug travel before it flew off?
The field inside a running track is made up of a rectangle that is 84.39 m long and 73 m wide, together with a half-circle at each end.
What is the distance around the inside of the track? Explain or show your reasoning.
The field inside a running track is made up of a rectangle that is 84.39 m long and 73 m wide, together with a half-circle at each end.
The track is 9.76 m wide all the way around. What is the distance around the outside of the track? Explain or show your reasoning.
This size running track is usually called a 400-meter track. However, if a person ran as close to the “inside” as possible on the track, they would run less than 400 meters in one lap. How far away from the inside border would someone have to run to make one lap equal exactly 400 meters?
Kiran bent some wire around a rectangle to make a picture frame. The rectangle is 8 inches by 10 inches.
Find the perimeter of the wire picture frame. Explain or show your reasoning.
Kiran bent some wire around a rectangle to make a picture frame. The rectangle is 8 inches by 10 inches.
If the wire picture frame were stretched out to make one complete circle, what would its radius be?