Grade 7 | Unit 3 | Lesson 8: Relating Area to Circumference | Practice Problems

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A circle’s circumference is approximately 76 cm. Estimate the radius, diameter, and area of the circle.

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Jada paints a circular table that has a diameter of 37 inches. What is the area of the table?

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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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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. One rotation of the carousel takes 12 seconds. How much faster does Mai travel than Kiran?

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Here are the diameters of four coins:

Coin	Diameter (cm)
Penny	1.9
Nickel	2.1
Dime	1.8
Quarter	2.4

A coin rolls a distance of 33 cm in 5 rotations. Which coin is it?

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Here are the diameters of four coins:

Coin	Diameter (cm)
Penny	1.9
Nickel	2.1
Dime	1.8
Quarter	2.4

A quarter makes 8 rotations. How far did it roll?

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Here are the diameters of four coins:

Coin	Diameter (cm)
Penny	1.9
Nickel	2.1
Dime	1.8
Quarter	2.4

A dime rolls 41.8 cm. How many rotations did it make?

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