Derive arc length and sector area formulas using similarity; define radians and convert degrees/radians.
Convert an angle measure from radians to degrees
Problem
Convert \(\pi/6~\text{radians}\) to degrees.
Big Picture
What this problem is really about
To move from radians to degrees, orient the straight-angle equivalence so radians and the factor of pi cancel. We’ll simplify what remains in degrees and then check the result against the same fraction of a straight angle.
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