用于测试点是否在圆内的方程 [英] Equation for testing if a point is inside a circle

问题描述

如果你有一个圆心 (center_x, center_y) 和半径 radius 的圆，你如何测试一个给定的点是否具有坐标 (x, y) 在圆圈内?

If you have a circle with center (center_x, center_y) and radius radius, how do you test if a given point with coordinates (x, y) is inside the circle?

推荐答案

一般来说，x 和 y 必须满足 (x - center_x)² + (y - center_y)² <半径².

In general, x and y must satisfy (x - center_x)² + (y - center_y)² < radius².

请注意，满足上述等式且<被==代替的点被认为是圆上的点，并且满足上述等式且<被>替换的点被认为是外部圆.

Please note that points that satisfy the above equation with < replaced by == are considered the points on the circle, and the points that satisfy the above equation with < replaced by > are considered the outside the circle.

这篇关于用于测试点是否在圆内的方程的文章就介绍到这了，希望我们推荐的答案对大家有所帮助，也希望大家多多支持IT屋！