Simple Curve Calculator

Formulas

Tip: Leave unused fields blank. Units are assumed arbitrary. Results rounded to 6 decimals.

Brief Formulas

Circle

Center (h,k), radius r

  • Equation: (x−h)² + (y−k)² = r²
  • Circumference: C = 2πr
  • Area: A = πr²

Parabola

y = a(x−h)² + k

  • Vertex: (h,k)
  • Opens: a > 0 up, a < 0 down
  • Focal length: p = 1/(4a)
  • Focus: (h, k + p)
  • Directrix: y = k − p

Ellipse

(x−h)²/a² + (y−k)²/b² = 1

  • c = √(a² − b²) (assume a ≥ b)
  • Eccentricity: e = c/a
  • Area: A = πab
  • Foci: (h±c, k)

Hyperbola

(x−h)²/a² − (y−k)²/b² = 1

  • c = √(a² + b²)
  • Eccentricity: e = c/a
  • Asymptotes: y − k = ±(b/a)(x − h)
  • Foci: (h±c, k)

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