Determine the relationship between the circumference and diameter of a circle and use it to solve problems.
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If you need to adapt or shorten this lesson for remote learning, we suggest prioritizing Anchor Problems 1 and 2 (benefit from worked examples). Students can also use the interactive geogebra tool (linked to the right) to discover the relationship As a discovery problem, if live discussion or reflection of the problem were possible, it would allow for students to arrive at the conclusion on their own. Find more guidance on adapting our math curriculum for remote learning here.
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Using the circles handout, measure the circumference and diameter of each circle and record your results in the table below.
Circle | Diameter ($$d$$) |
Circumference ($$C$$) |
Ratio of $$C/d$$ |
A | |||
B | |||
C | |||
D | |||
E | |||
F | |||
G |
Use the relationship between circumference and diameter to solve the two problems below.
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The following resources include problems and activities aligned to the objective of the lesson that can be used to create your own problem set.
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Describe the relationship between the circumference of a circle and its diameter.
The top of a can of tuna is in the shape of a circle. If the distance around the top is approximately 251.2 mm, what is the diameter of the top of the can of tuna? What is the radius of the top of the can of tuna?
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