Understanding Arc Length

The video tutorial from MooMooMath explains how to find the arc length of a circle. It begins by distinguishing between arc length and arc measure, noting that arc length is a fraction of the circle's circumference. The tutorial provides a step-by-step guide to calculating arc length, using a central angle of 60 degrees and a circle with a circumference of 24 inches as an example. The process involves determining the arc measure, calculating the circle's diameter, and using the formula to find the arc length. The video concludes with a summary of the rules for calculating arc length, emphasizing that it is a fraction of the circumference.

What is the arc measure of a circle with a central angle of 60 degrees?

• 30 degrees

• 60 degrees

• 120 degrees

• 90 degrees

Tags

CCSS.HSG.C.B.5

How is arc length related to the circumference of a circle?

• It is equal to the circumference

• It is a fraction of the circumference

• It is twice the circumference

• It is unrelated to the circumference

Tags

CCSS.7.G.B.4

If the diameter of a circle is 18 inches, what is the circumference?

• 9π inches

• 18π inches

• 24π inches

• 36π inches

Tags

CCSS.4.MD.C.5B

CCSS.HSG.CO.A.1

What fraction of the circle does an arc with a measure of 60 degrees represent?

• 1/2

• 1/4

• 1/6

• 1/8

Tags

CCSS.HSG.C.B.5

How do you calculate the arc length of a circle?

• Multiply the arc measure by the diameter

• Divide the circumference by the arc measure

• Multiply the fraction of the circle by the circumference

• Add the arc measure to the circumference

Tags

CCSS.HSG.C.B.5

What is the arc length if the circumference is 18π and the arc measure is 60 degrees?

• 9π

• 6π

• 12π

• 3π

Tags

CCSS.HSG.C.B.5

Which formula can be used to find the arc length?

• Diameter times arc measure

• Arc measure over 360 times circumference

• Arc measure times diameter

• Circumference divided by arc measure

Tags

CCSS.HSG.C.B.5