Draw a spiral with noise added to line

rumlac

Hello, I am trying to create a sketch that spirals outwards but the line being drawn has noise added to it - the result being a random (wiggly) line that vaguely follows a spiral path. If anyone can point me in the right direction that would be great! Thanks.

Here is the code I am using to draw a spiral:

float r = 0;
float theta = 0;

void setup() {
  size(800, 800);
  background(255);
  frameRate(100);
  smooth();
}

void draw() {
  float x = r * cos(theta);
  float y = r * sin(theta);
  noStroke();
  fill(0);
  ellipse(x + width/2, y + height/2, 20, 20); 

  theta += 0.01;

  r=r+0.09;
}

TfGuy44

float r = 0;
float theta = 0;

void setup() {
  size(800, 800);
  background(255);
  //frameRate(100);
  smooth();
}

float offset = .5;

void draw() {
  for(int t=0; t<100; t++){
  float x = (r + offset) * cos(theta);
  float y = (r + offset) * sin(theta);
  noStroke();
  fill(0);
  ellipse(x + width/2, y + height/2, 20, 20); 

  theta += 0.01;

  offset+=random(-1,1);

  r=r+0.09;}
}