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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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Grade 7 Area CCSS: 7.G.B.4
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 [math]ft^2[/math]
  2. 706.5 [math]ft^2[/math]
  3. 706.5 [math]ft^3[/math]
  4. 176.63 [math]ft^3[/math]
Grade 7 Circles CCSS: 7.G.B.4
Find the approximate circumference and area of this circle.

Diameter = 16.4 centimeters
Circle with Diameter
  1. 25.75 cm; 211.2 [math]cm[/math]
  2. 51.5 cm; 211.2 [math]cm^2[/math]
  3. 51.5 cm ; 211.2 [math]cm^3[/math]
  4. 25.75 cm ; 844.53 [math]cm^3[/math]
Grade 7 Circles CCSS: 7.G.B.4
Find the circumference, in cm, of a circle with a diameter of 10 cm.
  1. 5[math]pi[/math]
  2. 2.5[math]pi[/math]
  3. 25[math]pi[/math]
  4. 10[math]pi[/math]
Grade 7 Circles CCSS: 7.G.B.4
How far will a wheel of radius 2 feet travel in 500 revolutions?
  1. [math]1500pi[/math]
  2. [math]1000pi[/math]
  3. [math]500pi[/math]
  4. [math]2000pi[/math]
Grade 7 Circles CCSS: 7.G.B.4
Which statement shows how to compute the area of a circle with a radius of 4 feet?
  1. [math]pi[/math] times 4 squared
  2. [math]pi[/math] times 2 squared
  3. [math]pi[/math] times 8 squared
  4. [math]pi[/math] times 16 squared
Grade 7 Circles CCSS: 7.G.B.4
What is the area of a circle with radius 5?
  1. [math]25 pi[/math]
  2. [math]5 pi[/math]
  3. [math]10 pi[/math]
  4. [math]20 pi[/math]
Grade 7 Circles CCSS: 7.G.B.4
What is the approximate area of a circle with a radius of 8 meters?
  1. 25.13 meters
  2. 25.13 square meters
  3. 201.06 meters
  4. 201.06 square meters
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