Find the central angle given the arc length and radius

Find the central angle given the arc length and radius

Assessment

Interactive Video

Mathematics

9th - 10th Grade

Hard

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The video tutorial explains how to find the central angle of a circle given the arc length and radius. It starts by defining the problem and assigning values to the radius and arc length. The instructor then introduces the formula for arc length, which is the product of the radius and the central angle (Theta). The tutorial focuses on solving for Theta in radians by dividing the arc length by the radius. The solution is demonstrated step-by-step, resulting in a central angle of 4/5 radians. The video concludes with a summary of the process.

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2 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

How do you convert the arc length and radius into the measure of the central angle in radians?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the final value of the central angle in radians based on the given arc length and radius?

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