Concept explainers
The figure shows a circular arc of length s and a chord of length d, both subtended by a central angle θ. Find
To find: The value of
Answer to Problem 49E
The value of
Explanation of Solution
Given:
The circular arc of length is s and the chord of length is d.
Formula used:
Circular arc length: s =
Result used:
The value of limit
Calculation:
The given picture is shown in the below Figure 1.
From Figure 1,
Calculate the value of d.
From the triangle PQR as shown in Figure 1,
Therefore, the value is
Consider
Substitute
Let
Use Result stated above and obtain the value of the limit.
Therefore, the value of
Chapter 3 Solutions
Single Variable Calculus: Concepts and Contexts, Enhanced Edition
Additional Math Textbook Solutions
Precalculus: A Unit Circle Approach (3rd Edition)
Calculus: Early Transcendentals (3rd Edition)
University Calculus: Early Transcendentals, Single Variable (3rd Edition)
Calculus and Its Applications (11th Edition)
Thomas' Calculus: Early Transcendentals (14th Edition)
University Calculus: Early Transcendentals (4th Edition)
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