Master how to determine the arc length with given theta and the radius

The video tutorial explains how to determine the arc length using the formula s = r * Theta, where s is the arc length, r is the radius, and Theta is the angle in radians. It emphasizes the importance of using radians for the angle. The tutorial provides two examples: one with the angle already in radians and another requiring conversion from degrees to radians. The calculations involve simplifying fractions and multiplying to find the arc length, with results expressed in terms of Pi.

What is the formula used to calculate the arc length when given the radius and angle in radians?

• s = r + Theta

• s = r * Theta

• s = r / Theta

• s = r - Theta

Why is it important to have the angle in radians when using the arc length formula?

• Because the formula only works with radians

• Because radians are easier to measure

• Because radians are larger than degrees

• Because radians are a unit of length

In the example calculation, what is the simplified arc length when the radius is 20 cm and the angle is 3π/4 radians?

• 25π cm

• 20π cm

• 15π cm

• 10π cm

How do you convert an angle from degrees to radians?

• Subtract π from the angle

• Add π to the angle

• Multiply by π/180

• Multiply by 180/π

What is the arc length when the radius is 9 feet and the angle is converted to 2π/3 radians?

• 3π feet

• 4π feet

• 6π feet

• 5π feet