To find: the shaded area enclosed between the circles.
Answer to Problem 37E
The shaded area enclosed between the circles is
Explanation of Solution
Given information:
The given radii of the three circles are,
Concept used:
Law of Cosines:
If ABC is a triangle with sides
There are three circles and their radii
To calculate the shaded area enclosed between the circles a triangle enclosed between the circles.
Now, the sides of triangle
And,
And,
The area of a triangle is,
Where,
The area of triangle is calculated as,
The angle
The angle
The angle
Area of sector
Therefore, the shaded area is calculated as,
Therefore, the shaded area enclosed between the circles is
Chapter 6 Solutions
Precalculus: Mathematics for Calculus - 6th Edition
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