Master how to determine theta in radians when given arc length and the radius

The video tutorial explains how to calculate the angle theta in radians when given the radius and arc length. It introduces the formula theta = S/r, where S is the arc length and r is the radius. The tutorial provides examples, including converting radians to degrees by multiplying by 180/pi. The video concludes with a second example and a summary of the process.

What is the basic formula to determine theta in radians when given the arc length and radius?

• theta = r * S

• theta = S * r

• theta = S / r

• theta = r / S

What is the relationship between arc length, radius, and theta in radians?

• Theta equals radius divided by arc length

• Arc length equals theta divided by radius

• Arc length equals radius times theta

• Radius equals arc length times theta

In the example provided, what is the approximate value of theta when the arc length is 32 and the radius is 7?

• 2.71

• 5.00

• 3.14

• 4.57

How can you convert radians to degrees?

• Add 180

• Multiply by pi/180

• Multiply by 180/pi

• Subtract 180

In the second example, what is the value of theta when the arc length is 15 and the radius is 3?

• 3 radians

• 6 radians

• 4 radians

• 5 radians