GENERAL FORM TO STANDARD FORM OF CIRCLE

Input the value of your equation.

  • The coefficients of x² and y² must be equal and positive: A = B.
  • Example: x²+y²+8x-2y-8=0

    REMINDER:

    Prepare your pen and a piece of paper for writing your answers.

    Here's the answer

    Given:

    x 2 + y 2 + x + y + = 0

    Simplify the equation:

    + + + + = 0

    STEP 1: Arrange the terms with the same variable together, then move the constant to the right side of the equation and change its sign.

    STEP 2: Divide the numerical coefficient of x by 2, then square the result. Do the same for the numerical coefficient of y.

    STEP 3: Transform the perfect square trinomials of the x and y coefficients into binomials. Then, add both the square of the constant of x and y to the right side of the equation.

    STEP 4: After getting its binomial, get the square root of the radius.

    Your answer:

    Center:

    Radius: