SOLUTION: Find the equation of the circle that is tangent to both the x-axis and the y-axis and the distance from the origin to its center is 8 units
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Question 483349: Find the equation of the circle that is tangent to both the x-axis and the y-axis and the distance from the origin to its center is 8 units Answer by lwsshak3(11628) (Show Source):
You can put this solution on YOUR website! Find the equation of the circle that is tangent to both the x-axis and the y-axis and the distance from the origin to its center is 8 units
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Equation for standard form of circle: (x-h)^2+(y-k)^2=r^2, (h,k) being the (x,y) coordinates of the center, r=radius.
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For given equation:
x=y
by Pathagorean Theorem
8^2=x^2+y^2=x^2+x^2=2x^2=64
x^2=64/2=32
x=y=√32=4√2=radius
Equation:
(x-4√2)^2+(y-4√2)^2=32
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