Degrees to Radians Calculator
Degrees to Radians Calculator
Enter an angle in degrees to instantly see its radian equivalent — radians are the standard angle unit in mathematics, physics, and most programming languages' trigonometric functions.
Radians measure angles in terms of the radius of a circle rather than an arbitrary 360-part division, which is why formulas throughout calculus and physics come out cleaner when expressed in radians — a full circle is exactly 2π radians rather than the familiar but mathematically arbitrary 360°. Programming languages' built-in trig functions (sin, cos, tan) almost universally expect radians as input, which makes this conversion a common and easy-to-forget step whenever translating a degree-based angle from a design tool or protractor reading into working code.
- Formula: radians = degrees × (π / 180).
- Example: 180° × (π/180) = π ≈ 3.14159 radians.
- Common values: 90° = π/2, 180° = π, 270° = 3π/2, 360° = 2π.
What is 45° in radians?
45 × (π/180) = π/4 ≈ 0.7854 radians.
Why do programming languages use radians?
Most math libraries (sin, cos, tan) expect radians because they simplify calculus formulas involving trigonometric functions.
Degrees to Radians Calculator
Enter an angle in degrees to instantly see its radian equivalent — radians are the standard angle unit in mathematics, physics, and most programming languages' trigonometric functions.
Radians measure angles in terms of the radius of a circle rather than an arbitrary 360-part division, which is why formulas throughout calculus and physics come out cleaner when expressed in radians — a full circle is exactly 2π radians rather than the familiar but mathematically arbitrary 360°. Programming languages' built-in trig functions (sin, cos, tan) almost universally expect radians as input, which makes this conversion a common and easy-to-forget step whenever translating a degree-based angle from a design tool or protractor reading into working code.
- Formula: radians = degrees × (π / 180).
- Example: 180° × (π/180) = π ≈ 3.14159 radians.
- Common values: 90° = π/2, 180° = π, 270° = 3π/2, 360° = 2π.
What is 45° in radians?
45 × (π/180) = π/4 ≈ 0.7854 radians.
Why do programming languages use radians?
Most math libraries (sin, cos, tan) expect radians because they simplify calculus formulas involving trigonometric functions.