
Grade 7 | Unit 3 | Lesson 8: Relating Area to Circumference | Practice Problems
Authored by Illustrative Mathematics
Mathematics
6th Grade

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8 questions
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1.
OPEN ENDED QUESTION
3 mins • 1 pt
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2.
OPEN ENDED QUESTION
3 mins • 1 pt
A circle’s circumference is approximately 76 cm. Estimate the radius, diameter, and area of the circle.
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3.
OPEN ENDED QUESTION
3 mins • 1 pt
Jada paints a circular table that has a diameter of 37 inches. What is the area of the table?
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4.
OPEN ENDED QUESTION
3 mins • 1 pt
The Carousel on the National Mall has 4 rings of horses. Kiran is riding on the inner ring, which has a radius of 9 feet. Mai is riding on the outer ring, which is 8 feet farther out from the center than the inner ring is. In one rotation of the carousel, how much farther does Mai travel than Kiran?
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5.
OPEN ENDED QUESTION
3 mins • 1 pt
One rotation of the carousel takes 12 seconds. How much faster does Mai travel than Kiran?
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6.
OPEN ENDED QUESTION
3 mins • 1 pt
Here are the diameters of four coins:
| Coin | Diameter |
|---|---|
| Penny | 1.9 cm |
| Nickel | 2.1 cm |
| Dime | 1.8 cm |
| Quarter | 2.4 cm |
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7.
OPEN ENDED QUESTION
3 mins • 1 pt
A quarter makes 8 rotations. How far did it roll?
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