Measurements of Common Angles/Full Angle
Jump to navigation
Jump to search
Theorem
A full angle is equal to $360 \degrees$ or $2 \pi$ radians.
Proof
From Full Rotation measures $2 \pi$ Radians, a full rotation is $2 \pi$ radians.
By definition of degree of angle, a full rotation is $360 \degrees$.
Therefore, a full angle is $360 \degrees$ or $2 \pi$.
$\blacksquare$
Sources
- 1976: K. Weltner and W.J. Weber: Mathematics for Engineers and Scientists ... (previous) ... (next): $1$. Functions: $1.5$ Trigonometric or Circular Functions: $1.5.1$ Unit Circle
- 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): angle
- 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): angle