Geometry Show that the length d of a chord of a circle of radius r is given by the formula d = 2r sin 2 where 0 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 0 < 0, where 0 > 0 is measured in radians. e

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.2: Trigonometric Functions Of Angles
Problem 2E
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Geometry Show that the length d of a chord of a circle of
radius r is given by the formula
d = 2r sin
where 0 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 0 < 0, where 0 > 0 is measured in radians.
Transcribed Image Text:Geometry Show that the length d of a chord of a circle of radius r is given by the formula d = 2r sin where 0 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 0 < 0, where 0 > 0 is measured in radians.
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