In the circle below, the radius is 14 inches and the length of the subtended arc is 7/3 inches. 14 7π 3

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.1: Angles
Problem 29E
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In the circle below, the radius is 14 inches and the length of the subtended arc is 7/3 π inches.
T
(a) What is the measure of the central angle in radians?
6
14
7π
3
(b) What is the measure of the central angle in degrees? Round to the nearest tenth of a degree if necessary.
30
inches
(c) Suppose the shaded sector of the circle is cut out and then formed into a cone. What would the radius of this cone be? Give an exact answer.
14√3
3
Transcribed Image Text:In the circle below, the radius is 14 inches and the length of the subtended arc is 7/3 π inches. T (a) What is the measure of the central angle in radians? 6 14 7π 3 (b) What is the measure of the central angle in degrees? Round to the nearest tenth of a degree if necessary. 30 inches (c) Suppose the shaded sector of the circle is cut out and then formed into a cone. What would the radius of this cone be? Give an exact answer. 14√3 3
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