Calculating the Circumference of a Circle: Key Concepts and Steps

In this video, Mr. J explains the concept of circumference, which is the distance around a circle. He introduces two formulas for calculating circumference: using the radius (2πr) and using the diameter (πd). The video also covers the concept of pi, a mathematical constant used in these calculations. Mr. J provides four examples, demonstrating how to calculate the circumference of circles using both the radius and diameter. He emphasizes the importance of understanding both formulas and how they relate to each other.

What is the formula for calculating the circumference of a circle using its radius?

• C = d/π

• C = 2πr

• C = πd

• C = r/2π

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CCSS.7.G.B.4

What does the symbol π represent in the formulas for circumference?

• The ratio of the radius to the diameter

• The ratio of the diameter to the circumference

• The ratio of the circumference to the diameter

• The ratio of the circumference to the radius

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CCSS.HSG.GMD.A.1

If the radius of a circle is 6 inches, what is the approximate circumference using π as 3.14?

• Approximately 18.84 inches

• Approximately 12.56 inches

• Approximately 25.12 inches

• Approximately 37.68 inches

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CCSS.7.G.B.4

Which formula would you use if you only know the radius of the circle?

• C = πd

• C = 2πr

• C = d/2π

• C = r/π

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CCSS.7.G.B.4

How do you calculate the circumference if you are given the diameter of the circle?

• None of the above

• Divide the diameter by π

• Multiply the diameter by 2 and then by π

• Multiply π by the diameter

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CCSS.7.G.B.4

What is the circumference of a circle with a diameter of 10 centimeters using π as 3.14?

• Approximately 31.4 centimeters

• Approximately 62.8 centimeters

• Approximately 15.7 centimeters

• Approximately 20.93 centimeters

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CCSS.7.G.B.4

What is the correct way to round off the circumference to the nearest hundredth?

• Round to the nearest whole number

• Do not round at all

• Round to two decimal places

• Round to three decimal places

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CCSS.2.MD.A.2

If the diameter of a circle is 15 feet, what is the circumference using π as 3.14?

• Approximately 7.85 feet

• Approximately 23.55 feet

• Approximately 94.2 feet

• Approximately 47.1 feet

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CCSS.7.G.B.4

Can the formulas for circumference using radius and diameter be used interchangeably?

• None of the above

• Only in specific cases

• No, they are fundamentally different

• Yes, by converting between radius and diameter

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CCSS.7.G.B.4

What is the circumference of a circle with a radius of 4 inches using π as 3.14?

• Approximately 25.12 inches

• Approximately 12.56 inches

• Approximately 50.24 inches

• Approximately 6.28 inches

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CCSS.7.G.B.4