50. Find the area of the blue shaded region in the figure, assuming the quadrilateral inside the circle is a square.
To find: The area of the shaded region given in the figure
Answer to Problem 50AYU
Solution:
Area of the shaded region
Explanation of Solution
Given:
The following figure:
Radius of the circle
Diameter of the circle
Formula used:
Pythagoras Theorem:
Let the side of the square is . The diagonal divides the square into two right triangles, with the base and height equal to . The diagonal of the square is the diameter of the circle and hence the hypotenuse of the right triangle is 12 units.
Using Pythagoras theorem,
Area of the square
Chapter 1 Solutions
Precalculus Enhanced with Graphing Utilities
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