Derive arc length and sector area formulas using similarity; define radians and convert degrees/radians.
Convert an angle from degrees to radians by multiplying by π/180
Problem
Convert \(30^{\circ}\) to radians.
Big Picture
What this problem is really about
A unit-conversion factor should equal one while canceling the starting unit. We’ll orient the straight-angle equivalence with degrees in the denominator, simplify the exact pi fraction, and benchmark the result as a fraction of a straight angle.
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