What is the equation for a circle

The video tutorial covers the equations of circles in a Cartesian coordinate system. It begins by explaining the general equation of a circle with its center at the origin, where the formula is x^2 + y^2 = r^2. The tutorial then introduces the equation for circles with centers not at the origin, using the formula (x-h)^2 + (y-k)^2 = r^2, where (h, k) is the center. The instructor emphasizes understanding these formulas and provides practice problems for students to solve, encouraging active participation and problem-solving skills.

What is the relationship between the points on a circle and its center?

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Explain the significance of the radius in the context of a circle's equation.

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Given a center at (-3, 4) and a radius of 8, what is the equation of the circle?

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