Convert from Degrees to Radians -285

Problem

−285

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 change the units.

−285⋅π/180

3. Simplify the resulting fraction by finding the greatest common divisor of 285 and 180 which is 15

(−285*π)/180

4. Divide both the numerator and the denominator by 15

−285÷15=−19

180÷15=12

5. Write the final simplified expression in terms of π

(−19*π)/12

Final Answer

−285=−(19*π)/12

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