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Polar Equation of Circle Calculator

Online polar circle: center (a,0), radius a, through the pole, equation ρ=2a cosθ.

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ρ=2a cosθ
Center (a,0)
Angle

📖 Tutorial | Polar Circle

1. Definition
A circle with center (a,0), radius a through the pole is ρ=2a cosθ.
2. Formula & Notation
a,θRadius, angle
3. Properties & Laws
  • ρ=2a cosθ;
  • Center (a,0);
  • Through the pole;
  • No point for cosθ<0.
4. Steps
  1. Enter a, θ;
  2. Click "Find ρ";
  3. Or click "Load Example".
5. Worked Examples
Example: a=5, θ=60: ρ=5.
6. Common Pitfalls
Only cosθ≥0;
a>0;
Center is not the pole.

❓ FAQ | Polar Circle

Equation?
2a cosθ.
Center?
(a,0).
Through pole?
Yes.
cos<0?
No point.
Example?
ρ=5.
y axis?
sinθ.