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    • ▾Precalc
      • ▾Conic sections
        • •Intro to conic sections
        • •Center and radii of an ellipse
        • •Foci of an ellipse
        • •Intro to hyperbolas
        • •Foci of a hyperbola
        • •Maximizing the product of two integers, given their integer sum
        • •Hyperbolas not centered at the origin
        • •Standard equation of a circle
      • ▸Functions and relations
        • •Composition of functions
        • •Operations with functions
        • •Graphing the sum of trig functions from their graphs
        • •Finding and verifying the inverse of a nonlinear function
        • •Graphically finding the increasing, decreasing, and constant intervals
        • •Vertical and horizontal line tests
        • •Restrict the domain then find the inverse
        • •Sketching the inverse of a function from its graph
      • ▸Characteristics of functions
        • •Finding extrema graphically
        • •End behavior
      • ▸Rational functions
        • •Partial fraction decomposition
        • •Simplifying the difference quotient
        • •Pick's theorem
      • ▸Sigma notation and the binomial theorem
        • •Converting sums between sigma notation and expanded form
        • •Properties of sigma notation
        • •Using the binomial theorem
      • ▸Series
        • •Geometric series
        • •Geometric series with summation notation
        • •Arithmetic series with summation notation
      • ▸Logic
        • •De Morgan's laws for propositional logic
     › Precalc › Conic sections

    Standard equation of a circle

    First, students learn how to identify the center and radius of a circle from its standard equation.

    Features of a circle from its standard equation by Khan Academy

    Features of a circle from its standard equation by Khan Academy

    Next, students will learn how to graph a circle from its standard equation.

    Graphing a circle from its standard equation by Khan Academy

    Graph a circle from its standard equation by Khan Academy

    After that, students will learn how to find the standard equation of a circle from its graph.

    Writing standard equation of a circle by Khan Academy

    Write standard equation of a circle by Khan Academy

    Conclude by giving your students these challenges:

    • Quadruple Sudoku by NRICH
    • Arrange the Digits by NRICH
    • Forgotten Number by NRICH
    • Same Length by NRICH
    • A Complicated Area