Simplify 90 degrees

Problem

90

Solution

1. Identify the standard conversion factor between degrees and radians, which is 180=π* rad

2. Set up the conversion by multiplying the given angle by the ratio π/180

3. Substitute the value into the expression:

90⋅π/180

4. Simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor, which is 90

90/180=1/2

5. Multiply the resulting fraction by π to find the final radian measure.

1/2⋅π=π/2

Final Answer

90=π/2

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