Write the equation of a circle with center (4, -5) and radius = square root of 13

The answer is:

The equation of the given circle is:

The equation of a circle is given by the following equation:

We are given the center point (4,-5) and the radius.

So,

Where:

Then, substituting into the circle equation, we have:

Hence, the simplified equation of the circle is:

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The required equation in standard form is

Step-by-step explanation:

The equation of a circle with center (h,k) an radius, r units is given by the formula;

The given circle has center (4,-5) and radius .

We substitute these values into the formula to obtain;

We simplify to get;

tangent

step-by-step explanation:

246

step-by-step explanation: