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Convert from Degrees to Radians 156

Problem

156

Solution

  1. Identify the conversion factor between degrees and radians, which is (π* radians)/180

  2. Multiply the given degree measure by the conversion factor.

θ=156⋅π/180

  1. Simplify the fraction by finding the greatest common divisor of 156 and 180

gcd(156,180)=12

  1. Divide both the numerator and the denominator by 12

156/12=13

180/12=15

  1. Write the final result in terms of π

(13*π)/15

Final Answer

156=(13*π)/15


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