Circle Properties
GeometryEasyVerify radius, area, circumference, and test point containment invariants.
Alt+Shift+C
Circle Grid (Drag Center A, boundary B, or test point C)
Circle Radius (r):3.0000
Circle Area:28.2743
Circle Circumference:18.8496
Is Test Point C Inside:Yes (Inside / On border)
Time Complexity
O(1) direct equation
Space Complexity
O(1) auxiliary
Conceptual Overview
Circle calculations evaluate points inside boundary radii, areas, circumferences, and tangents intersections.
Mathematical Formula
Area = \pi r^2 | Circumference = 2\pi r | \text{Inside if } (x_C - x_A)^2 + (y_C - y_A)^2 \le r^2
Source: CP-Algorithms geometry reference