31 lines
		
	
	
		
			980 B
		
	
	
	
		
			Markdown
		
	
	
	
	
	
		
		
			
		
	
	
			31 lines
		
	
	
		
			980 B
		
	
	
	
		
			Markdown
		
	
	
	
	
	
| 
								 | 
							
								---
							 | 
						||
| 
								 | 
							
								title: Converting Between Radians and Degrees
							 | 
						||
| 
								 | 
							
								localeTitle: Преобразование между радианами и градусами
							 | 
						||
| 
								 | 
							
								---
							 | 
						||
| 
								 | 
							
								## Преобразование между радианами и градусами
							 | 
						||
| 
								 | 
							
								
							 | 
						||
| 
								 | 
							
								### Общие формулы
							 | 
						||
| 
								 | 
							
								
							 | 
						||
| 
								 | 
							
								Следующие формулы могут быть использованы для преобразования между радианами и градусами:
							 | 
						||
| 
								 | 
							
								```
							 | 
						||
| 
								 | 
							
								r = d * (π / 180) 
							 | 
						||
| 
								 | 
							
								 
							 | 
						||
| 
								 | 
							
								 d = r * (180 / π) 
							 | 
						||
| 
								 | 
							
								 
							 | 
						||
| 
								 | 
							
								 where r is the angle in radians and d is the angle in degrees. 
							 | 
						||
| 
								 | 
							
								```
							 | 
						||
| 
								 | 
							
								
							 | 
						||
| 
								 | 
							
								### Примеры
							 | 
						||
| 
								 | 
							
								
							 | 
						||
| 
								 | 
							
								Преобразование 2π / 3 радианов в градусы:
							 | 
						||
| 
								 | 
							
								```
							 | 
						||
| 
								 | 
							
								2π/3 * 180/π = 360π/3π = 360/3 = 120 degrees 
							 | 
						||
| 
								 | 
							
								```
							 | 
						||
| 
								 | 
							
								
							 | 
						||
| 
								 | 
							
								Преобразуйте 30 градусов в радианы:
							 | 
						||
| 
								 | 
							
								```
							 | 
						||
| 
								 | 
							
								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. 
							 | 
						||
| 
								 | 
							
								
							 | 
						||
| 
								 | 
							
								```
							 |