# Making a circle using only points

Written 2022-07-17.

Search engines are awful nowadays, or maybe it's just the websites themselves that seem to think more is less.

Anyway, I wanted to make a circle with points. Here's how you do it.

## Requirements

You will need:

- Radius
- Resolution of circle (how many points the circle will consist of)
- Center of circle
- An array of points / vectors to put the points in

## Code

`#include <math.h>`

int radius = 10;

int resolution = 16; // number of points

Vector2 center = {200, 200};

Vector2 points[resolution] = {0};

for (int i = 0; i < resolution; i++)

{

float degrees = i * (360.f / resolution);

float radians = degrees * M_PI/180;

float x = center.x + radius * cosf(radians);

float y = center.y + radius * sinf(radians);

points[i].x = (int) x;

points[i].y = (int) y;

}

Some frameworks allow you to center a polygon made from points yourself, in that case you don't need the center of the circle.

Removing the center, we are left with a circle made with these points:

`10.000000, 0.000000`

9.000000, 3.000000

7.000000, 7.000000

3.000000, 9.000000

0.000000, 10.000000

-3.000000, 9.000000

-7.000000, 7.000000

-9.000000, 3.000000

-10.000000, 0.000000

-9.000000, -3.000000

-7.000000, -7.000000

-3.000000, -9.000000

0.000000, -10.000000

3.000000, -9.000000

7.000000, -7.000000

9.000000, -3.000000

Cheers.