Center: (2, 8) radius: 3 how do I write the equation of the circle in standard form?

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Question:

Center: (2, 8) radius: 3
how do I write the equation of the circle in standard form?

Answer:

We are given:

Coordinates of center: (2,8)

Radius of circle: 3 units

Finding equation of the circle:

We know that the general form of a circle is:

(x-h)² + (y-k)² = (radius)²

where h is the x-coordinate of the center and k is the y-coordinate

replacing with the given values, we get:

(x-2)² + (y-8)² = (3)²

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