Pre Calc unit 3 Find the radius given the arc length and angle in degrees

The video tutorial explains the importance of using radians in calculations and demonstrates how to convert degrees to radians. It introduces the formula S = R * Theta and shows how to solve for R when given S and Theta. The tutorial also discusses when to approximate or round values, emphasizing the importance of leaving answers in terms of π unless specified otherwise.

Why is it important to convert Theta to radians in this context?

• Because radians are a more common unit

• Because degrees are not used in mathematics

• Because the formula requires Theta in radians

• Because radians are easier to calculate

What is the conversion ratio used to convert 20 degrees to radians?

• 1/10

• 1/8

• 1/7

• 1/9

After converting 20 degrees to radians, what is the value of Theta?

• π/7

• π/10

• π/9

• π/8

In the formula S = R * Theta, if S is 40 cm and Theta is π/9, how do you solve for R?

• Divide both sides by 40

• Multiply both sides by the reciprocal of π/9

• Divide both sides by π

• Multiply both sides by π

When should you approximate the value of π in your final answer?

• Always approximate π

• Only when instructed to do so

• Never approximate π

• Approximate π if the answer is in centimeters