Angle Converter

Understanding This Calculator

Common Angle Conversions

Angles are most commonly measured in Degrees (°) and Radians (rad). Understanding how to convert between them is essential for geometry and trigonometry.

1. Degrees to Radians

To convert an angle from degrees to radians, multiply by π / 180.

Radians = Degrees × (π / 180)

Example 1: Convert 90° to Radians

• Formula: 90 × (π / 180)
• Simplify: 90/180 × π
• Result: π/2 radians (≈ 1.5708 rad)

Example 2: Convert 45° to Radians

• Formula: 45 × (π / 180)
• Simplify: 45/180 × π
• Result: π/4 radians (≈ 0.7854 rad)

2. Radians to Degrees

To convert an angle from radians to degrees, multiply by 180 / π.

Degrees = Radians × (180 / π)

Example 1: Convert π Radians to Degrees

• Formula: π × (180 / π)
• Simplify: π cancels out
• Result: 180°

Example 2: Convert 1 Radian to Degrees

• Formula: 1 × (180 / π)
• Calculation: 180 / 3.14159...
• Result: ≈ 57.2958°

Frequently Asked Questions