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Geometry Notes G.12 Equations of Circles Mrs. GrieserName: Date: Block: Writing Equations of Circles Given any point on a circle with center (0, 0), the Pythagorean Theorem gives us x 2 + y2 r2Example:
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How to fill out 12 equations of circles

01
Understand the equation of a circle, which is in the form (x - h)^2 + (y - k)^2 = r^2.
02
Make sure you have the values for the center coordinates (h, k) and the radius (r) for each circle.
03
Use the given information to substitute the values into the equation for each circle.
04
Expand and simplify the equation by expanding the squared terms.
05
Group like terms and rearrange the equation to isolate the squared terms on one side and the constant on the other.
06
Repeat steps 3-5 for all 12 circles, substituting the appropriate values and simplifying the equations.
07
Once you have simplified all 12 equations, you have successfully filled out the equations of circles.

Who needs 12 equations of circles?

01
Mathematicians, geometers, and researchers studying circles and their properties may need to work with 12 equations of circles.
02
Engineers and architects dealing with circular structures or designs could also benefit from using 12 equations of circles.
03
Students learning about advanced geometry topics may be tasked with solving or analyzing 12 equations of circles as part of their studies.
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The 12 equations of circles are used in geometry to represent the equations of circles in a coordinate plane.
Any individual or organization studying circles in geometry may be required to work with 12 equations of circles.
To fill out 12 equations of circles, you would need to understand the standard form for the equation of a circle and substitute the values of the radius and center coordinates.
The purpose of 12 equations of circles is to help analyze and solve problems involving circles in a coordinate plane.
The information reported on 12 equations of circles includes the equation of the circle in standard form, the center coordinates, and the radius.
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