So this is the code I wrote despite it being 24 hours late.

/*
 Distance Analyzer 3000
 (Pro-Trinket EDC hackaday contest)
 John Hamann
 Started November 29th 2014
*/

#include <LiquidCrystal.h>
#include <Encoder.h>

Encoder salad(3, 4 ); //inside joke
LiquidCrystal lcd(12, 11 , 18, 17, 16, 15);
int encoderCount = 0;
const double pi = 3.14159;
const double radius = 4.1; //millimeters
const int totalSteps = 92; //number of clicks for one full rotation
const int unitCyclePin = 0;
const int resetPin = 5;
int unitCount = 3;

void setup(){
  pinMode(unitCyclePin, INPUT);
  pinMode(resetPin, INPUT);
  lcd.begin(16, 2);
  lcd.print("Distance");
  lcd.setCursor(0,1);
  lcd.print("Analyzer 3000");
  delay(2000);
}

void loop(){
  encoderCount = salad.read();
  int unitState = digitalRead(unitCyclePin);
  
  if(unitState == HIGH){
    unitCount++;
  }
  
  if(unitCount == 5){
    unitCount = 0;
  }
  
  updateDisplay(unitCount, calculateDistance(encoderCount, unitCount));
}

void updateDisplay(int unit, double distance){
  lcd.clear();
  lcd.setCursor(0,0);
  lcd.print(distance);
  if(unit == 0){
    lcd.setCursor(0,1);
    lcd.print("cm");
  }
  if(unit == 1){
    lcd.setCursor(0,1);
    lcd.print("m");
  }
  if(unit == 2){
    lcd.setCursor(0,1);
    lcd.print("in");
  }
  if(unit == 3){
    lcd.setCursor(0,1);
    lcd.print("ft");
  }
}

/*
 0 = centimeters
 1 = meters
 2 = inches
 3 = feet
*/

double calculateDistance(int count, int unit){
  double radianCount = ((2 * pi) / totalSteps) * count;

  if(unit == 0){
    double radiusCent = radius / 10; //Change millimeters to centimeters
    return radiusCent * radianCount; //Arc length calculation
  }
  if(unit == 1){
    double radiusMeter = radius / 100;
    return radiusMeter * radianCount;
  }
  if(unit == 2){
    double radiusInch = radius * 0.039370; 
    return radiusInch * radianCount;
  }
  if(unit == 3){
    double radiusFeet = (radius * 0.039370) / 12;
    return radiusFeet * radianCount;
  }
  
  return 0;
}

The reset and unit changer are as of now unimplemented. But for my first real arduino project it turned out pretty well.