Convert from Degrees to Radians 340 degrees

Problem

340

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=340⋅π/180

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

340/180=34/18

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

34/18=17/9

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

θ=(17*π)/9

Final Answer

340=(17*π)/9

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