Drag to match
Match the circle to the equation
Matched!
Drag the red center point. Drag the green handle to change radius.
Drag numbers to build
Build the standard equation
(x
{{ s2.slots.x || '' }}
)² + (y
{{ s2.slots.y || '' }}
)² =
{{ s2.slots.r || '' }}
{{ chip.val }}
Equation built!
Tap to add terms
Complete the square
Add the missing square terms to both sides.
Original General Form
{{ s3.valA }}
{{ s3.valB }}
=
+ {{ s3.valA }}
+ {{ s3.valB }}
Total: {{ -s3.F + s3.valA + s3.valB }}
Perfect squares formed!
Slide to factor
Factor into standard form
Target Equation
Your Expansion
(x
{{ fmt(s4.A) }}
)² + (y
{{ fmt(s4.B) }}
)² =
{{ s4.C }}
Factored successfully!
Master of Circles!
You've successfully built standard equations and completed the square to reveal the hidden circle.