How do I convert degrees to radians?

Radians = Degrees × π/180. Example: 90° = 90 × π/180 = π/2 ≈ 1.5708 radians.

A radian is the angle subtended at the centre of a circle by an arc equal in length to the radius. 2π radians = 360 degrees.

How many radians in 180 degrees?

180 degrees = π radians ≈ 3.14159 radians. This is a fundamental relationship in mathematics and physics.

Why do we use radians instead of degrees?

Radians simplify mathematical formulas in calculus and physics. Derivatives of trigonometric functions are simpler in radians.

How do I convert radians to degrees?

Degrees = Radians × 180/π. Example: π/4 radians = π/4 × 180/π = 45 degrees.

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📊 Common Angle Reference

From	To	Value
180°	Radians	π ≈ 3.14159
1 Radian	Degrees	57.296°
360°	Gradians	400 grad
1 Turn	Degrees	360°
90°	Radians	π/2 ≈ 1.5708

Frequently Asked Questions

Q: How to convert degrees to radians?

Multiply degrees by π/180 ≈ 0.017453. Example: 90° × π/180 = 1.5708 radians. Radians are used in mathematics, physics and engineering.

Q: What is a gradian?

A gradian (grad) divides a circle into 400 parts (vs 360 degrees). 1 grad = 0.9°. Used in surveying and civil engineering. A right angle = 100 gradians = 90 degrees.

📊 Common Angle Reference

Frequently Asked Questions

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