Given the radius of a circle find the length of an arc

The video tutorial covers a homework problem where students are tasked with finding the length of arc LM. The instructor explains the formula for calculating arc length, which involves the central angle, radius, and π. The formula is applied to a specific example where the central angle is 100 degrees and the radius is 5 inches. The instructor demonstrates the calculation process and emphasizes the importance of using the correct units. Finally, guidance is provided for completing similar problems in the homework assignment.

What is the first step in solving the problem of finding the length of arc LM?

• Identify the central angle and radius

• Calculate the area of the circle

• Find the diameter of the circle

• Determine the circumference of the circle

Which formula is used to calculate the length of an arc?

• Length = radius * π

• Length = (X degrees / 360) * radius * π

• Length = X degrees * radius

• Length = (X degrees / 180) * radius * π

What is the central angle for arc LM in the given problem?

• 360 degrees

• 90 degrees

• 180 degrees

• 100 degrees

How is the arc length calculated once the values are plugged into the formula?

• By multiplying the central angle by the radius

• By adding the central angle and the radius

• By dividing the central angle by the radius

• By using a calculator to compute the result

What is the unit of measurement for the arc length in this problem?

• Cubic inches

• Square inches

• Centimeters

• Inches