Exploring Arc Length Solutions

This video tutorial guides students through understanding and calculating arc length, a segment of a circle's circumference. The teacher explains the concept using a pizza analogy and provides step-by-step instructions for solving arc length problems using proportions. Two examples are worked through, with students participating in the second. The video concludes with practice problems for students to solve independently, emphasizing the importance of understanding the material for an upcoming quiz.

What is arc length in relation to a circle's circumference?

• The entire circumference of the circle

• The radius of the circle

• A section of the circle's circumference

• The diameter of the circle

What is the first step in finding the arc length?

• Calculate the circumference of the circle

• Determine the diameter of the circle

• Multiply the radius by pi

• Set up the proportion

Tags

CCSS.HSG.C.B.5

How do you find the diameter if you are given the radius?

• Square the radius

• Multiply the radius by pi

• Divide the radius by 2

• Multiply the radius by 2

Tags

CCSS.7.G.B.4

What is the formula for circumference?

• C = r * pi

• C = d + pi

• C = d * pi

• C = 2 * r * pi

Tags

CCSS.7.G.B.4

How do you set up the proportion for calculating arc length?

• Degrees of the section / 360 = Radius / Circumference

• Degrees of the section / 360 = Diameter / Circumference

• Degrees of the section / 360 = Arc length / Diameter

• Degrees of the section / 360 = Arc length / Circumference

Tags

CCSS.HSG.C.B.5

What is the final step in calculating the arc length?

• Subtract the radius from the proportion

• Multiply the proportion by pi

• Divide the cross-multiplied value by 360

• Add the diameter to the proportion

Tags

CCSS.HSG.C.B.5

What units are used for arc length?

• Square units

• Cubic units

• Linear units

• No units

Tags

CCSS.HSF.TF.A.1

If the radius of a circle is 9 km, what is the diameter?

• 27 km

• 9 km

• 18 km

• 4.5 km

Tags

CCSS.7.G.B.4

If the circumference of a circle is 69.12, and the section's degrees are 255, what is the arc length?

• 48.96 yards

• 360 yards

• 69.12 yards

• 255 yards

Tags

CCSS.HSG.C.B.5

What should you do if you score less than 60% on the practice problems?

• Seek help from the teacher

• Guess the answers on the quiz

• Ignore the quiz

• Skip the lesson