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Show that the length d of a chord of a circle of radius r is given by

Question:

Show that the length d of a chord of a circle of radius r is given by the formula

d = 2r sin


where θ is the central angle formed by the radii to the ends of the chord. See the figure. Use this result to derive the fact that sin θ < θ, where u θ > 0 is measured in radians.

Show that the length d of a chord of a

Transcribed Image Text:

d = 2r sin

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Use the Law of Cosines to find the length of side d If s r is ...View the full answer


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Related Book For  answer-question
Precalculus

Precalculus

ISBN: 978-0321716835

9th edition

Authors: Michael Sullivan

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