Using arc length formula to find the values for a circle

The video tutorial explains how to find the arc length of a circle given a radius and a central angle. It introduces the formula for arc length, which is the product of the radius and the angle in radians. The tutorial emphasizes the importance of converting angles from degrees to radians and provides a step-by-step example of calculating arc length using a radius of 15 inches and a central angle of 180 degrees. The tutorial concludes with tips on using the formula effectively.

What is the given radius in the arc length problem?

• 10 inches

• 15 inches

• 25 inches

• 20 inches

Which formula is used to calculate the arc length?

• S = radius + angle

• S = radius * angle

• S = radius / angle

• S = radius - angle

How many radians is 180 degrees equivalent to?

• 2π

• π

• π/2

• 3π

What is the arc length when the radius is 15 inches and the angle is π radians?

• 10π inches

• 15π inches

• 20π inches

• 25π inches

Why is it important to convert degrees to radians in arc length calculations?

• Radians are smaller units

• Radians are easier to calculate

• The formula requires the angle in radians

• Degrees are not accurate