Theorem: In any circles the same ratio of arc length to radius determines a unique central angle that the arcs subtend; and conversely, equal central angles determine the same ratio of arc length to radius. Prove the theorem above using the definition of the radian measure of an angle.

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Laynecollier2007idn Laynecollier2007idn

25-07-2024
Mathematics

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Theorem: In any circles the same ratio of arc length to radius determines a unique central angle that the arcs subtend; and conversely, equal central angles determine the same ratio of arc length to radius. Prove the theorem above using the definition of the radian measure of an angle.

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