IXL - Find properties of circles from equations in general form (Geometry practice)

What is the center of the circle

–

Simplify any fractions.

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Learn with an example

question

What is the center of the circle

–

Simplify any fractions.

key idea

A circle is the set of points in a plane that are the same distance from a fixed point. The distance is the

radius.

The point is the

center.

The equation of a circle in standard form is

(

–

)

(

–

)

The center is

(

)

The radius is

solution

The center cannot be found by simply looking at the equation in general form. So, write the equation in standard form.

Make sure the terms with

and

are on the left side of the equation and the constant is on the right.

–

Identify the center.

(

–

)

(

–

)

The center is

(

)

Looking for more? Try these:

Lesson: Equations of circles

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Teacher tools

Work it out

Not feeling ready yet? These can help:

Y.7Convert equations of circles from general to standard form

Y.5Write equations of circles in standard form from graphs

Lesson: Equations of circles

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