SOLUTION: A sq of side 5x is inscribed in a circle. Express the area of a circle as a function of x.

Algebra ->  Circles -> SOLUTION: A sq of side 5x is inscribed in a circle. Express the area of a circle as a function of x.      Log On


   

Question 312444: A sq of side 5x is inscribed in a circle. Express the area of a circle as a function of x.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
The diagonals, D, of the square are the diameter of the circle.
The sides of the square are legs of a right triangle and the hypotenuse is the diagonal.
D%5E2=%285x%29%5E2%2B%285x%29%5E2
D%5E2=25x%5E2%2B25x%5E2
D%5E2=50x%5E2
The area of a circle based on the diameter is,
A=pi%2AD%5E2%2F4
In this case,
A=pi%2A50x%5E2
highlight_green%28A=50%2Api%2Ax%5E2%29