Given the radius and angle in degrees find the arc length

The video tutorial explains how to calculate the arc length of a circle. It begins by introducing the concept and the formula A = r * θ, where A is the arc length, r is the radius, and θ is the angle in radians. The tutorial emphasizes the importance of converting angles from degrees to radians, using 180 degrees as an example, which equals π radians. The calculation is demonstrated by multiplying the radius (15 inches) by π to find the arc length. The video concludes with a reminder to always use radians in such calculations.

What is the formula used to calculate the arc length of a circle?

• A = r - Theta

• A = r / Theta

• A = r * Theta

• A = r + Theta

Why is it necessary to convert the angle from degrees to radians when calculating arc length?

• Radians are the standard unit for angles

• Degrees are not accurate

• The formula requires the angle in radians

• Radians are easier to work with

How many radians are equivalent to 180 degrees?

• 2π radians

• 3π/2 radians

• π radians

• π/2 radians

If the radius of a circle is 15 inches and the angle is π radians, what is the arc length?

• 15 inches

• 7.5π inches

• 30π inches

• 15π inches

What should you ensure when calculating arc length?

• Use the circumference formula

• Use the diameter instead of the radius

• Use radians for the angle

• Use degrees for the angle