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# Common Core Standard 7.G.B.4 Questions

Know the formulas for the area and circumference of a circle and use them to solve problems; give an informal derivation of the relationship between the circumference and area of a circle.

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A dinner plate has a diameter of 12 centimeters. What is the approximate area?
1. 37.68 cm
2. 452.16 $cm^2$
3. 113.04 $cm^2$
4. 113.04 $cm^3$
A lawn sprinkler sprays water 15 feet in every direction as it rotates. What is the approximate area of the sprinkled lawn?
1. 176.63 $ft^2$
2. 706.5 $ft^2$
3. 706.5 $ft^3$
4. 176.63 $ft^3$
Find the approximate circumference and area of this circle.

Diameter = 16.4 centimeters

1. 25.75 cm; 211.2 $cm$
2. 51.5 cm; 211.2 $cm^2$
3. 51.5 cm ; 211.2 $cm^3$
4. 25.75 cm ; 844.53 $cm^3$
Find the circumference, in cm, of a circle with a diameter of 10 cm.
1. 5$pi$
2. 2.5$pi$
3. 25$pi$
4. 10$pi$
1. $1500pi$
2. $1000pi$
3. $500pi$
4. $2000pi$
1. $pi$ times 4 squared
2. $pi$ times 2 squared
3. $pi$ times 8 squared
4. $pi$ times 16 squared