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Concept explainers
10. A circle of radius r is inscribed in a square. see the figure.
(a) Express the area A of the square as a function of the radius r of the circle.
(b) Express the perimeter p of the square as a function of r.
![Check Mark](/static/check-mark.png)
To find:
a. To express the area of the square as a function of the radius of the circle.
Answer to Problem 10AYU
Solution:
a.
Explanation of Solution
Given:
A circle of radius is inscribed in the square.
Calculation:
a. To express the area of the square as a function of the radius of the circle:
From the given figure, the side of the square.
Therefore, Area of the square .
![Check Mark](/static/check-mark.png)
To find:
b. To express the perimeter of the square as a function of .
Answer to Problem 10AYU
Solution:
b.
Explanation of Solution
Given:
A circle of radius is inscribed in the square.
Calculation:
b. To express the perimeter p of the of the square as a function of :
From the given figure, the side of the square .
Therefore, Perimeter of the square .
Chapter 2 Solutions
Precalculus Enhanced with Graphing Utilities
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