SOLUTION: A rectangle that is x feet wide is inscribed in a circle of radius 37 feet. Express the area of the rectangle as a function of x.
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-> SOLUTION: A rectangle that is x feet wide is inscribed in a circle of radius 37 feet. Express the area of the rectangle as a function of x.
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You can put this solution on YOUR website! A rectangle that is x feet wide is inscribed in a circle of radius 37 feet.
Express the area of the rectangle as a function of x.
:
The diameter of the circle is the hypotenuse of the rectangle (74 ft)
:
Let L = the length of the rectangle
Given that x = width of the rectangle
:
Pythag.
L^2 + x^2 = 74^2
L^2 + x^2 = 5476
L^2 = 5476 - x^2
L =
:
Area: L * x
replace L with
:
A = x*
