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To find: The area of the shaded region
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Answer to Problem 48AYU
The area of the shaded region is
Explanation of Solution
Given:
Calculation:
The standard form of an equation of a circle with center at the origin
On comparing the given equation with the standard form, the value of
The area of a circle is
Since the radius of the circle is 6,the diameter will be
The diameter of the circle is equivalent to the diagonal of the square
In order to find the side of square, use the formula
Divide each side of the equation by
The area of a square is given by the formula
Substitute
The area of the shaded region is the difference between the area of the circle and the area of the square
The area of the shaded region
Conclusion:
Hence, the area of the shaded region is
Chapter 1 Solutions
Precalculus
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