Arc Length and Central Angles

The video tutorial explains the concept of arc length, a portion of a circle's circumference, and provides a formula to calculate it. Several examples are demonstrated, including cases with missing arc measures and complex calculations. The tutorial concludes with a practical application involving a pendulum swing.

What is the formula for calculating the length of an arc?

• L = x * c / 360

• L = x * c / 180

• L = x * c / 270

• L = x * c / 90

If the central angle is 107 degrees and the diameter is 12 meters, what is the length of the arc?

• 11.21 meters

• 13.21 meters

• 10.21 meters

• 12.21 meters

Given a central angle of 38 degrees and a diameter of 30 inches, what is the arc length?

• 11.95 inches

• 10.95 inches

• 9.95 inches

• 8.95 inches

How do you find the central angle if it is not directly given?

• Add 180 degrees to the given angle

• Divide the given angle by 2

• Subtract the given angle from 360 degrees

• Multiply the given angle by 2

If the central angle is 218 degrees and the diameter is 8 cm, what is the arc length?

• 16.22 cm

• 15.22 cm

• 17.22 cm

• 14.22 cm

What is the first step in finding the arc length when the central angle is not given?

• Divide the given angle by 2

• Add 180 degrees to the given angle

• Subtract the given angle from 360 degrees

• Multiply the given angle by 2

For a central angle of 112 degrees and a diameter of 30 cm, what is the arc length?

• 28.32 cm

• 29.32 cm

• 30.32 cm

• 31.32 cm

If the radius is 8 feet and the central angle is 198 degrees, what is the arc length?

• 27.61 feet

• 28.61 feet

• 29.61 feet

• 30.61 feet

Given a diameter of 21 inches and a central angle of 334 degrees, what is the arc length?

• 60.21 inches

• 61.21 inches

• 62.21 inches

• 63.21 inches

A pendulum swings through an angle of 40 degrees with a length of 16 inches. What is the arc length?

• 12.17 inches

• 11.17 inches

• 13.17 inches

• 10.17 inches