Circle Geometry and Arc Length

The video tutorial explains how to calculate the arc length traveled by a minute hand of a clock. It introduces the concept of arc length and the formulas used to calculate it, specifically focusing on the arc length formula s = Rθ, where θ is the central angle in radians. The tutorial demonstrates the calculation process by considering the minute hand moving from the 12 to the 2 on a clock, which is one-sixth of the circumference. The calculation involves multiplying 1/6 by 2πR, where R is the length of the minute hand. The result is simplified to 3π inches, approximately 9.42 inches.

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

• s = r²θ

• s = r * θ

• s = πr²

• s = 2πr

How many minutes does the minute hand travel in the given problem?

• 20 minutes

• 15 minutes

• 10 minutes

• 5 minutes

What fraction of the clock's circumference does the minute hand travel from 12 to 2?

• 1/4

• 1/12

• 1/6

• 1/3

What is the radius of the circle in the problem?

• 7 inches

• 10 inches

• 8 inches

• 9 inches

What is the approximate arc length traveled by the minute hand?

• 11.42 inches

• 8.42 inches

• 10.42 inches

• 9.42 inches