To calculate: The area of shaded region provided in the figure below,
Answer to Problem 59E
The area of shaded region is
Explanation of Solution
Given information:
A triangle with length of its sides as 2 and 2 and included angle
Radius of the circle is 2 units.
Formula used:
The area of a triangle is denoted by
Area of circle is
Calculation:
Consider the triangle with length of its sides as 2 and 2 and included angle
Now area of shaded region is
Recall that the area of a triangle is denoted by
Apply it,
Now, area of circle whose radius is 2 units is
Therefore, area of shaded region is,
Thus, the area of shaded region is
Chapter 6 Solutions
Precalculus: Mathematics for Calculus - 6th Edition
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- Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning