The student, given the coordinates of the center of a circle and a point on the circle, will write the equation of the circle.
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A circle is a locus of points equidistant from a given point, the center.
Standard form for the equation of a circle is (𝑥 - 𝘩)² + (𝑦 - 𝑘)² = 𝑟², where the coordinates of the center of the circle are (𝘩, 𝑘) and 𝑟 is the length of the radius.
The circle is a conic section.
Identify the center, radius, and diameter of a circle from a given standard equation.
Use the distance formula to find the radius of a circle.