IXL - Write equations of circles in standard form using properties (Geometry practice)

Write the equation in standard form for the circle with radius 10 centered at the origin.

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question

Write the equation in standard form for the circle with radius 1 centered at the origin.

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

The origin is (0, 0).

solution

You are given the coordinates of the center and the radius, so plug them in.

(

–

)

(

–

)

(

–

)

(

–

)

Plug in

and

Plug in

and

Looking for more? Try these:

Lesson: Equations of circles

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Not feeling ready yet? These can help:

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

B.10Midpoint formula: find the midpoint

Lesson: Equations of circles

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