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Convert from Degrees to Radians 260

Problem

260

Solution

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

  2. Multiply the given angle in degrees by this conversion factor to set up the expression.

θ=260⋅π/180

  1. Simplify the fraction by canceling the degree units and dividing both the numerator and denominator by their greatest common divisor, which is 20

260/180=26/18

  1. Reduce the fraction further by dividing both numbers by 2

26/18=13/9

  1. Combine the simplified fraction with π to get the final radian measure.

θ=(13*π)/9

Final Answer

260=(13*π)/9


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