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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 Circles CCSS: 7.G.B.4
Find the approximate radius of a circle with the area of 452.16 sq. inches.
  1. 144 in.
  2. 12 in.
  3. 2266.08 in.
  4. 6 in.
Grade 7 Circles CCSS: 7.G.B.4
A circle has a perimeter of 35 feet. What is its approximate diameter?
  1. 11.14 feet
  2. 6.28 feet
  3. 5.57 feet
  4. 3.5 feet
  5. 14 feet
Grade 7 Circles CCSS: 7.G.B.4
Which is a formula to find the area of the shape shown?
Circle - Right Half - Color
  1. [math]2πr[/math]
  2. [math]πr^2[/math]
  3. [math]0.5 xx π [/math]
  4. [math](πr^2)/2[/math]
Grade 7 Circles CCSS: 7.G.B.4
A circle has a circumference of 35 feet. What is its approximate diameter?
  1. 11.14 feet
  2. 6.28 feet
  3. 5.57 feet
  4. 3.5 feet
  5. 14 feet
Grade 7 Circles CCSS: 7.G.B.4
What is the approximate circumference of the circle that has a diameter of 8?
  1. 12.6 units
  2. 25.1 units
  3. 39.5 units
  4. 50.3 units
Grade 7 Area CCSS: 7.G.B.4
A dinner plate has a diameter of 12 centimeters. What is the approximate area?
  1. 37.68 cm
  2. 452.16 [math]cm^2[/math]
  3. 113.04 [math]cm^2[/math]
  4. 113.04 [math]cm^3[/math]
Grade 7 Circles CCSS: 7.G.B.4
What is the formula to finding the circumference of a circle?
  1. c = pi x diameter
  2. c = pi x radius
  3. c = pi x 3.14
Grade 7 Circles CCSS: 7.G.B.4
Find the area of a circle where r = 7 m. Use pi = 3.14.
  1. [math]153.86m^2[/math]
  2. [math]43.96m^2[/math]
  3. [math]13.28m^2[/math]
  4. [math]153m^2[/math]
Grade 7 Circles CCSS: 7.G.B.4
Pi is the ratio of a circle's                         to its                        .
  1. area; diameter
  2. radius; diameter
  3. area; circumference
  4. circumference; diameter
Grade 7 Circles CCSS: 7.G.B.4
How do we find the area of a circle?
  1. Length x Width
  2. Base x Height
  3. Pi x Radius Squared
  4. Pi x Diameter
  5. 1/2 x Base x Height
Grade 7 Circles CCSS: 7.G.B.4
Line AB is 14 inches long. What is the approximate area of this circle?
Circle with Diameter AB
  1. 42 square inches
  2. 615 square inches
  3. 160 square inches
  4. 154 square inches
Grade 7 Circles CCSS: 7.G.B.4
Find the circumference of a circle with a radius of 6 inches. (Use 3.14 for Pi)
  1. 37.68 inches
  2. 18.84 inches
  3. 9.42 inches
  4. 9.14 inches
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