Straight Angle measures Pi Radians
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Theorem
One straight angle is equal to $\pi$ radians.
Proof
From Full Angle measures 2 Pi Radians, one full angle is equal to $2 \pi$ radians.
A straight angle by definition is $\dfrac 1 2$ of a full angle.
It follows that $\pi$ radians sweeps out the one straight angle.
$\blacksquare$
Sources
- 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): angular measure
- 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): angular measure