35 lines
		
	
	
		
			657 B
		
	
	
	
		
			Markdown
		
	
	
	
	
	
		
		
			
		
	
	
			35 lines
		
	
	
		
			657 B
		
	
	
	
		
			Markdown
		
	
	
	
	
	
| 
								 | 
							
								---
							 | 
						||
| 
								 | 
							
								title: Converting Between Radians and Degrees
							 | 
						||
| 
								 | 
							
								---
							 | 
						||
| 
								 | 
							
								## Converting Between Radians and Degrees
							 | 
						||
| 
								 | 
							
								
							 | 
						||
| 
								 | 
							
								### General Formulae
							 | 
						||
| 
								 | 
							
								
							 | 
						||
| 
								 | 
							
								The following formulae can be used to convert between radians and degrees:
							 | 
						||
| 
								 | 
							
								```
							 | 
						||
| 
								 | 
							
								r = d * (π / 180)
							 | 
						||
| 
								 | 
							
								
							 | 
						||
| 
								 | 
							
								d = r * (180 / π)
							 | 
						||
| 
								 | 
							
								
							 | 
						||
| 
								 | 
							
								where r is the angle in radians and d is the angle in degrees.
							 | 
						||
| 
								 | 
							
								```
							 | 
						||
| 
								 | 
							
								
							 | 
						||
| 
								 | 
							
								### Examples
							 | 
						||
| 
								 | 
							
								
							 | 
						||
| 
								 | 
							
								Convert 2π/3 radians to degrees:
							 | 
						||
| 
								 | 
							
								
							 | 
						||
| 
								 | 
							
								```
							 | 
						||
| 
								 | 
							
								2π/3 * 180/π = 360π/3π = 360/3 = 120 degrees
							 | 
						||
| 
								 | 
							
								```
							 | 
						||
| 
								 | 
							
								
							 | 
						||
| 
								 | 
							
								Convert 30 degrees to radians:
							 | 
						||
| 
								 | 
							
								
							 | 
						||
| 
								 | 
							
								```
							 | 
						||
| 
								 | 
							
								30 * π/180 = 30π/180 = π/6 or (1/6)π radians
							 | 
						||
| 
								 | 
							
								
							 | 
						||
| 
								 | 
							
								Note: Radians are usually expressed in terms of π instead of a rounded decimal as this form represents the actual value rather than an approximation.
							 | 
						||
| 
								 | 
							
								```
							 | 
						||
| 
								 | 
							
								
							 | 
						||
| 
								 | 
							
								
							 | 
						||
| 
								 | 
							
								
							 |