How do I convert degrees to radians?

To convert degrees to radians, multiply by π/180 (approximately 0.01745). For example, 180° = π radians (≈3.14159), and 90° = π/2 radians (≈1.5708).

How many degrees are in a radian?

One radian equals approximately 57.2958 degrees. A radian is defined as the angle where the arc length equals the radius. A full circle is 2π radians (≈6.283) or 360 degrees.

A gradian (also called gon or grade) divides a right angle into 100 parts, so a full circle is 400 gradians. They're used in some surveying and engineering applications. 90° = 100 grad.

What are arcminutes and arcseconds?

Arcminutes (') and arcseconds (") are subdivisions of degrees. 1 degree = 60 arcminutes, and 1 arcminute = 60 arcseconds. They're commonly used in astronomy and navigation for precise measurements.

Why do programmers use radians?

Most programming languages use radians for trigonometric functions (sin, cos, tan) because radians simplify mathematical calculations and calculus formulas. Always convert degrees to radians before using trig functions.

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