Finding theta given the arc length and radius

The video tutorial explains how to find the central angle (Theta) using the formula s = r * Theta, where s is the arc length and r is the radius. The arc length must be in radians, and if given in degrees, it should be converted to radians. The tutorial walks through a problem where the radius is 7 units and the arc length is 32 units, leading to a calculation of Theta as 4.57 radians. The importance of using radians for Theta is emphasized, and the video concludes with a discussion on representing units.

What is the formula for calculating arc length?

• s = r + Theta

• s = r - Theta

• s = r * Theta

• s = r / Theta

Why must arc length be measured in radians?

• Because radians are easier to calculate

• Because radians are used in physics

• Because radians are smaller than degrees

• Because radians are the standard unit for angles in mathematics

How do you convert a central angle from degrees to radians?

• Multiply by 180/pi

• Multiply by pi/180

• Subtract 180

• Add 180

In the given example, what is the value of the radius?

• 5

• 7

• 10

• 12

What is the calculated value of Theta in the example?

• 5.00 radians

• 4.57 radians

• 3.14 radians

• 2.71 radians