Practice Lesson Quiz 8-5 & 8-6

Which of the following statements is true? Select all that apply.

• The radius of a circle is twice its diameter.

• To find the diameter of a circle, divide its circumference by π.

• The circumference of a circle is greater than its diameter.

• The circumference of a circle is twice its radius.

• To find the diameter of a circle, multiply its radius by two.

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CCSS.MATH.CONTENT.7.G.B.4

What is the circumference, in centimeters, of the circle? Use 3.14 for π.

Mathematical Equivalence

ON

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CCSS.MATH.CONTENT.7.G.B.4

What is the diameter of a circle with a circumference of 84.78 inches? Use 3.14 for π.

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ON

Answer explanation

84.78 ÷ 3.14 = 27

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CCSS.MATH.CONTENT.7.G.B.4

What is the difference between the circumference of the outer circle and the circumference of the inner circle? Leave your answer in terms of π.

Answer explanation

Diameter of the inner circle is 18.

The diameter of the out circle is 22.

22-18 = 4

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CCSS.MATH.CONTENT.7.G.B.4

A mountain bike tire completes 30 revolutions and travels 236 feet. Rounded to the nearest inch, what is the diameter of the bike’s tire? Use 3.14 for π.

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CCSS.MATH.CONTENT.7.G.B.4

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CCSS.MATH.CONTENT.7.G.B.4

Sarah is designing a logo. First, she paints a green square with side lengths of 5 feet. Then she uses blue paint to inscribe two semicircles as shown. What is the area of the part of the logo that is still green? Use 3.14 for π.

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CCSS.MATH.CONTENT.7.G.B.4

• Divide
• square root
• multiply
• square

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CCSS.MATH.CONTENT.7.G.B.4

The area of a circle is 153.86 square meters. What is the diameter of the circle? Use 3.14 for π.

• 14 meters
• 7 meters

• 12.4 meters
• 15.8 meters

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CCSS.MATH.CONTENT.7.G.B.4

A basketball team wants to paint half of a free-throw circle grey. If the circumference of the free-throw circle is 30.77 feet, what is the area that will be painted grey? Use 3.14 for π, and round to the nearest square foot ( do not round until the end)

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ON

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CCSS.MATH.CONTENT.7.G.B.4