Geometry
Class 11

Standard Circle Equation

(xh)2+(yk)2=r2(x-h)^2 + (y-k)^2 = r^2
−10−5051000.511.522.53
(x-h)² + (y-k)² = r²

Adjust Variables

Center x (h)
h =
-55
Center y (k)
k =
-55
Radius (r)
r =
110

Circle with center (h,k) and radius r. All points at distance r from center satisfy this equation.

Real-World Applications

GPS — Circle of possible locations from one satellite signal.

Radar — Circular detection range around a station.

WiFi coverage — Circular signal range from router.

Irrigation — Circular sprinkler coverage area.

Gaming — Circular area-of-effect in games.

Urban planning — Service area radius from facilities.

Astronomy — Planetary orbits (approximation).

Manufacturing — Circular machine tool paths.

Architecture — Circular windows and arches.

Sports — Circular field boundaries.

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