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How to Create a Circle with Linked Segments Using Trigonometric Equations and SVG Paths?

Patricia Arquette
Release: 2024-12-17 17:03:15
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How to Create a Circle with Linked Segments Using Trigonometric Equations and SVG Paths?

Creating a Circle with Links on Border Side

To generate a circle with distinct sections, it's crucial to pinpoint points along the circumference that serve as coordinates in SVG path elements. Utilizing trigonometric equations simplifies finding points on a circle, given the angles involved.

Calculating coordinates involves utilizing the following equations:

  • X Coordinate: Radius * Cos(Angle) Center Point X
  • Y Coordinate: Radius * Sin(Angle) Center Point Y
  • Angle: Angle in Degrees * Math.PI / 180

The angles used depend on the number of segments required. For example, to create a circle with six segments, each segment spans 60 degrees, covering from 0 to 60, 60 to 120, and so on.

Sample Calculations for a Circle with Six Segments (Radius: 50, Center Point: 55,55):

Segment Angle (Degrees) Angle (Radians) From Point To Point
1 0 - 60 0 - π/3 (105,55) (80, 98.30)
2 60 - 120 π/3 - 2π/3 (80, 98.30) (30, 98.30)
3 120 - 180 2π/3 - π (30, 98.30) (5, 55)
4 180 - 240 π - 4π/3 (5, 55) (30, 11.69)
5 240 - 300 4π/3 - 5π/3 (30, 11.69) (80, 11.69)
6 300 - 360 5π/3 - 2π (80, 11.69) (105, 55)

Once these points are determined, constructing an SVG path becomes straightforward. The path commences from the center point (55,55), extends to the starting point, and draws an arc to the ending point.

Consider the following sample path for the first segment:

<path d='M55,55 L105,55 A50,50 0 0,1 80,98.30z' />
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  • Note the transition from a line (L) to an arc (A) *.

Here's a visual demonstration of a circle with six segments:

[Image of a circle with six segments, each segment linked]

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