Angle Converter
Convert between degrees and radians instantly. Perfect for trigonometry, geometry, and mathematical calculations.
Result
0.017453 rad
1 ° = 0.017453 rad
Common Angle Conversions
Conversion Table
| Input | From | To | Result |
|---|---|---|---|
| 1 | ° | rad | 0.017453 |
Angle Converter - Complete Guide
Convert between degrees and radians instantly. Perfect for trigonometry, geometry, physics, engineering, and mathematical calculations.
Conversion Formula: Value × (From Unit Factor / To Unit Factor)
Use this formula to convert between degrees and radians. Select your units above and get instant results!
Common Angle Conversions
Frequently Asked Questions
What angle units are supported?
Our angle converter supports 2 units: degrees (°) and radians (rad). These are the most common angle units used in mathematics and physics.
What is the relationship between degrees and radians?
180 degrees = π radians (approximately 3.14159 radians). Therefore, 1 degree = π/180 radians, and 1 radian = 180/π degrees (approximately 57.2958 degrees).
Why do we use radians instead of degrees?
Radians are the standard unit of angular measurement in mathematics and physics because they simplify many formulas. One radian is the angle subtended by an arc length equal to the radius of the circle.
What is the value of π in degrees?
π radians = 180 degrees. This is the fundamental relationship between radians and degrees.
How many degrees are in a full circle?
A full circle has 360 degrees or 2π radians (approximately 6.28319 radians).
What are the common angle conversions used in trigonometry?
Common conversions include 30° = π/6 rad, 45° = π/4 rad, 60° = π/3 rad, 90° = π/2 rad, 180° = π rad, and 360° = 2π rad.
Quick Conversion Tips
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