查找圆边上的坐标 [英] Finding the coordinates on the edge of a circle

问题描述

使用 C#:

如果我有圆心坐标和半径，我如何获得任意给定度数的圆边缘的 (x, y) 坐标?

How do I get the (x, y) coordinates on the edge of a circle for any given degree, if I have the center coordinates and the radius?

可能涉及到 SIN、TAN、COSIN 和其他十年级数学... :)

There is probably SIN, TAN, COSIN and other grade ten math involved... :)

推荐答案

以下是适用于任何语言的数学解决方案:

Here's the mathematical solution which can be applied in any language:

x = x0 + r * cos(theta)
y = y0 + r * sin(theta)

x0 和 y0 是圆心坐标，r 是半径，theta 在弧度.角度是从 x 轴逆时针方向测量的.

x0 and y0 are the coordinates of the centre, r is the radius, and theta is in radians. The angle is measured anticlockwise from the x-axis.

这是 C# 的代码，特别是如果您的角度以度为单位:

This is the code for C# specifically if your angle is in degrees:

double x = x0 + r * Math.Cos(theta * Math.PI / 180);
double y = y0 + r * Math.Sin(theta * Math.PI / 180);

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