Circles and Equations is a powerful learning aid that combines interactive Coaching Calculators and Guides to help students master finding the center and radius of a circle by completing the square.
Work with the Coaching Calculator to find the centre and radius of a circle step by step,
- Taking constant term to right hand side
- Grouping x-related and y-related terms
- Completing the squares
- Writing in center-radius form
or go straight to a particular step.
The Guide features worked examples with circle equations where the coefficient of x² is one and not equal to one.
Applications include finding the equation of a tangent line at a a given point on a circle and determining if a given point is inside a circle.
It's ideal for students as the menu design reinforces each problem solving step and examples highlight and simplify algebra that students find hard.