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7. Please read and solve. Thanks!

Algebra
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Apr 27th, 2015

Since the center is at the origin, (h,k) = (0,0);  This means that the left side of the equation is x^2 + y^2

The radius is going to be the distance from (0,0) to (2,-6).  We use the distance formula:

sqrt[(2-0)^2 + (-6-0)^2] = sqrt[4 + 36].  So the radius is sqrt 40.   r^2 = 40.

So, the equation of the circle is:   x^2 + y^2 = 40


Hope this helps.

Apr 27th, 2015

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