Convert from Degrees to Radians 178 degrees

Problem

178

Solution

1. Identify the conversion factor between degrees and radians, which is based on the relationship 180=π* radians

2. Set up the multiplication by multiplying the given degree measure by the ratio π/180

178⋅π/180

3. Simplify the fraction by dividing both the numerator 178 and the denominator 180 by their greatest common divisor, which is 2

178/180=89/90

4. Combine the simplified fraction with π to express the final result in radians.

(89*π)/90

Final Answer

178=(89*π)/90

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