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 formula is used to calculate arc length?

Why must arc length be measured in radians?

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

What is the value of Theta in radians if the arc length is 32 units and the radius is 7?

What is the relationship between radius, arc length, and central angle?