Convert from Degrees to Radians 690 degrees

Problem

690

Solution

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

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

690⋅π/180

3. Simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor, which is 30

690/180=23/6

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

(23*π)/6

Final Answer

690=(23*π)/6

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