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How to find the equation of a circle with the center and a point.

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User DamianFox
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1 Answer

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Final answer:

To find the equation of a circle with the center and a point, you can use the distance formula. The general equation of a circle is (x - h)^2 + (y - k)^2 = r^2, where (h, k) is the center of the circle and r is the radius.

Step-by-step explanation:

To find the equation of a circle with the center and a point, you can use the distance formula. The general equation of a circle is (x - h)^2 + (y - k)^2 = r^2, where (h, k) is the center of the circle and r is the radius.

Step 1: Find the coordinates of the center of the circle.

Step 2: Use the distance formula to find the radius of the circle using the distance between the center and the given point.

Step 3: Substitute the values of h, k, and r into the general equation of a circle to get the equation of the circle.

User Kkonrad
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