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?

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Why must arc length be measured in radians?

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

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

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

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