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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Find the length of the arc that subtends the given central angle theta=50 degrees on a circle of diameter d=16m. What is the area of the sector determined by theta?

Expert Solution
Step 1.

Length of the arc (l)= circumference x fraction of the circle.

Diameter=2xradius

Since diameter=16m so radius of the circle is 8m.

l=2πrx50360   =2x227x8x50360    =6.984

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