Understanding Arc Length in Partial Circles

The video tutorial explains how to find the arc length of a partial circle using pi (3.14). It begins with an introduction to the concept of arc length and the difference between a full circle and a partial circle. The tutorial then details the steps to calculate the circumference of a circle using either the diameter or the radius. It demonstrates how to find the arc length by multiplying the circumference by the fraction of the circle represented by the arc. Different types of partial circles, such as half, quarter, and three-quarters, are discussed, with examples of how to calculate their arc lengths. The video concludes with a summary and an invitation for questions.

What value is used for pi in the video tutorial?

• 3.1416

• 3.0

• 3.14159

• 3.14

Tags

CCSS.7.G.B.4

Which formula is used to calculate the circumference of a circle?

• Radius plus pi

• Diameter plus pi

• Radius times pi

• Diameter times pi

Tags

CCSS.7.G.B.4

If the radius of a circle is 3, what is the circumference using 3.14 for pi?

• 6.28

• 9.42

• 12.56

• 18.84

Tags

CCSS.HSG.C.B.5

How do you calculate the arc length of a half-circle?

• Multiply circumference by 0.5

• Multiply circumference by 1

• Multiply circumference by 0.25

• Multiply circumference by 0.75

Tags

CCSS.HSG.C.B.5

What is the arc length of a half-circle with a circumference of 18.84 cm?

• 12.56 cm

• 9.42 cm

• 18.84 cm

• 4.71 cm

Tags

CCSS.HSG.C.B.5

What fraction of a circle is represented by a quarter circle?

• 1

• 0.25

• 0.5

• 0.75

Tags

CCSS.HSG.C.B.5

How do you calculate the arc length of a quarter circle?

• Multiply circumference by 0.5

• Multiply circumference by 1

• Multiply circumference by 0.25

• Multiply circumference by 0.75

Tags

CCSS.3.G.A.2

What fraction of a circle is represented by a 3/4 circle?

• 0.75

• 1

• 0.5

• 0.25

Tags

CCSS.HSG.C.B.5

How do you calculate the arc length of a 3/4 circle?

• Multiply circumference by 0.75

• Multiply circumference by 0.5

• Multiply circumference by 0.25

• Multiply circumference by 1

Tags

CCSS.HSG.C.B.5

What should you do if you have questions about the concept?

• Search online

• Guess the answers

• Ask in class

• Ignore them