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lesson 2-3: CIRCLE AND ITS

STANDARD FORMULA

What is a circle?

  • A circle is the set of points in a plane that lie a fixed distance, called the radius, from any point, called the center. The diameter is the length of a line segment passing through the center whose endpoints are on the circle. In addition, a circle can be formed by the intersection of a cone and a plane that is perpendicular to the axis of the cone.

  • In a rectangular coordinate plane, where the center of a circle with radius r is (h,k), we have:

Calculate the distance between (h,k) and (x,y) using the distance formula,

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Squaring both sides leads us to the equation of a circle in standard form,

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