Exploring Adding and Subtracting Rational Expressions

This video tutorial covers the concept of circles, including definitions of key terms like radius and diameter. It explains how to calculate the circumference of a circle using both the radius and diameter, with examples provided for clarity. The video also discusses the perimeter of a semicircle and includes application problems to demonstrate real-world uses of these calculations.

What is the radius of a circle?

• Circumference divided by pi

• Distance from the center to any point on the circle

• Distance across the circle through the center

• Twice the diameter of the circle

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CCSS.HSG.C.A.2

How can the diameter be calculated if the radius is known?

• Divide the radius by pi

• Multiply the radius by 2

• Divide the radius by 2

• Multiply the radius by pi

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CCSS.7.G.B.4

What is the relationship between the diameter and the radius of a circle?

• Radius is one-fourth the diameter

• Radius is twice the diameter

• Diameter is half the radius

• Diameter is twice the radius

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CCSS.7.G.B.4

If the radius of a circle is 5 cm, what is its circumference using pi as 3.14?

• 31.4 cm

• 62.8 cm

• 15.7 cm

• 10.0 cm

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CCSS.7.G.B.4

What is the approximate circumference of a circle with a radius of 8 yards using pi as 3.14?

• 25.12 yards

• 50.24 yards

• 16.56 yards

• 100.48 yards

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CCSS.7.G.B.4

What is the formula for the circumference of a circle using the diameter?

• 2 times pi times radius

• Radius times 2 times pi

• Diameter divided by 2

• Pi times diameter

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CCSS.7.G.B.4

How do you find the perimeter of a semicircle?

• Half the circumference plus the diameter

• Circumference divided by two

• Pi times the radius

• Two times the radius plus pi

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CCSS.7.G.B.4

How is the perimeter of a semicircle calculated if the diameter is 22 inches?

• 84.06 inches

• 112.08 inches

• 28.27 inches

• 56.54 inches

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CCSS.7.G.B.4

What is the circumference of a circle with a diameter of 28 cm using pi as 3.14?

• 100 cm

• 56 cm

• 44 cm

• 87.92 cm

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CCSS.7.G.B.4

If the minute hand of a clock is 7.5 inches long, how far does it travel in one day?

• 188.4 inches

• 47.1 inches

• 23.55 inches

• 94.2 inches

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CCSS.HSG.C.B.5