Precalculus Examples

Find the Circle Through (95,5) with Center (1,1)
,
Find the radius for the circle. The radius is any line segment from the center of the circle to any point on its circumference. In this case, is the distance between and .
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Use the distance formula to determine the distance between the two points.
Substitute the actual values of the points into the distance formula.
Simplify.
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Multiply by to get .
Subtract from to get .
Remove parentheses around .
Raise to the power of to get .
Multiply by to get .
Subtract from to get .
Remove parentheses around .
Raise to the power of to get .
Add and to get .
Rewrite as .
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Factor out of .
Rewrite as .
Pull terms out from under the radical.
is the equation form for a circle with radius and as the center point. In this case, and the center point is . The equation for the circle is .
The circle equation is .
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