Graphing and Writing Equations of Circles

Tutoring on Graphing and Writing Equations of Circles

Learning Objectives:

Understand to Write and Graph General and Standard Equation of a Circle.

Math Tutoring on Graphing and Writing Equations of Circles

Standard Form of an equation of a Circle:

A Circle is the set of points (x, y) which are a fixed distance r’, the Radius, away from a fixed point (h, k), the Center.

General Form of a Circle:

If a Circle is given in general form, we must complete the square on the x and y parts of the equation to rewrite in Standard Form.

Steps to Graph a Circle from a Standard Equation:

1.   Identify the Centre from (h, k) and plot it.

2.    Identify the Radius ‘r and plot the unit from the Center on the respective x-axis and y-axis at 4 different places.

3.    Try to finish the circle by joining above 4 points.

 

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Hook questions:

1.     What is the Standard Form of an equation of a Circle?

2.    What is the General Form of a Circle equation?

3.     What are the steps to Graph a Circle from a Standard Equation?

 

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