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What is the radius of a circle with the equation x2 + y2 – 14x + 10y = 250?

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asked Nov 17, 2015 in GEOMETRY by anonymous

1 Answer

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The equation of circle is image.

image

To change the expression into a perfect square trinomial add (half the image coefficient)² and add (half the image coefficient)² to each side of the expression.

image

image

image

image.

The standard form of circle equation is image, where image is the center and image is the radius of circle.

Compare the image with standard form of circle equation.

Here image and image.

Therefore, the radius of the circle equation is image.

answered Nov 17, 2015 by Sammi Mentor
edited Nov 17, 2015 by Sammi

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