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

Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.
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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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