Radian
The angle made by taking the radius and wrapping it round the circle.
A radian is a unit of measure used in trigonometry and mathematics to define an angle. It is defined as the measure of an angle that, when the radius of a circle is wrapped around the circumference of that circle, spans an arc length equal to the radius of the circle. In short, a radian is the standard unit of measure for angles in mathematics.
One radian is equal to approximately 57.3 degrees, or π/180 radians (where π is the mathematical constant pi). This can be derived from the formula for the circumference of a circle, which is C = 2πr.
In trigonometry, angles are often measured in radians instead of degrees, as it makes certain calculations simpler and more intuitive. For example, the trigonometric functions sine, cosine, and tangent are defined in terms of the length of sides of a right triangle, which can be calculated using the radian measure of an angle and the radius of a circle.
Overall, the radian is a fundamental concept in mathematics, used extensively in calculus, physics, and many other fields.
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