SOLUTION: Find the equation of a circle whose radius is 5 and the center lies on the positive side of x-axis at a distance 5 from the origin

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Question 1075180: Find the equation of a circle whose radius is 5 and the center lies on the positive side of x-axis at a distance 5 from the origin
Found 2 solutions by ikleyn, MathTherapy:
Answer by ikleyn(52864) About Me  (Show Source):
You can put this solution on YOUR website!
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%28x-5%29%5E2+%2B+y%5E2 = 25.


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no, MathTherapy, No.
Read attentively the condition.



Answer by MathTherapy(10556) About Me  (Show Source):
You can put this solution on YOUR website!
Find the equation of a circle whose radius is 5 and the center lies on the positive side of x-axis at a distance 5 from the origin
With a radius of 5 units from the center, and the center being in the 1st quadrant, a point on the circle will be (0, 0).
The radius in the 1st quadrant will be the hypotenuse of a 3-4-5 right triangle, with the longer side being 4 units and on the x-axis. Thus the center is: (4, 3)
Therefore, the equation of the circle: %28x+-+h%29%5E2+%2B+%28y+-+k%29%5E2+=+r%5E2 becomes: highlight_green%28%28x+-+4%29%5E2+%2B+%28y+-+3%29%5E2+=+25%29