Convert from Degrees to Radians 420

Problem

420

Solution

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

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

θ=420⋅π/180

3. Simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor, which is 60

420/180=7/3

4. Combine the simplified fraction with π to find the final radian measure.

θ=(7*π)/3

Final Answer

420=(7*π)/3

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