Solving equations
Cutting circles

You need to cut out two identical circles from a piece of cardboard 9x12 cm. What is the size of the largest circles you can make?

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Use the dynamic figure to find the largest radius that lets you cut out two complete circles from the rectangle.

  • Construct an equation the solution to which will help you find the maximum radius.

  • Solve the equation and check whether the solution agrees with the dynamic figure.







  • The difference equation

    vertex form = constant
    quadratic function = constant
    The difference equation
    Carpenter's problem
    Playing fields
    Warm-up
    Table designs
    Isosceles triangles
    Cutting circles
    Pairs of numbers

    Exercise 1
    Exercise 2
    Exercise 3
    Exercise 4
    Exercise 5
    Exercise 6
    Exercise 7