How this calculation works
Find the line on which points have equal power with respect to two circles.
THE FORMULA
Subtract the two point-power expressions to get a linear equationA worked example
Equal radii and centres (0,0), (4,0) yield 8x−16=0.
Good to know
Concentric circles require separate treatment.
Reference: OpenStax Algebra and Trigonometry, Trigonometric Applications (opens in a new tab) ↗
Read the result
Find the line on which points have equal power with respect to two circles.
The primary result is labeled “x coefficient”. Keep the input definitions in view when comparing this result with another method.
Try a related calculation
Concentric circles require separate treatment.
For a related exercise, try the circle calculator.
A few questions, answered
How can I check the default inputs by hand?
Equal radii and centres (0,0), (4,0) yield 8x−16=0.
Which rule does this calculator apply?
Subtract the two point-power expressions to get a linear equation