Find the area of the sector of the circle.
Answer to Problem 68E
Explanation of Solution
Given information:
Circles with radii
Calculation:
Examine that, three circles with radii
It is need to find the area of the sector of thr circle of radius
Consider the three circles as shown below
The three circles have radii of
To calculate the area of the sector in the circle of radius
We notice that points
We see that the sides of the triangle are
Satisfies the Pythagorean Theorem, we know that
Hence,
In a circle of radius
For the circle of radius
Substituting
Hence, the required area is
Chapter 6 Solutions
Precalculus: Mathematics for Calculus - 6th Edition
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