Q. Convert the angle θ=230∘ to radians.Express your answer exactly.θ=□ radians
Conversion factor for degrees to radians: To convert degrees to radians, we use the conversion factor that π radians is equal to 180 degrees. The formula to convert degrees to radians is:radians = degrees ×(180π)
Applying the formula to θ: Now we apply the formula to θ=230 degrees.radians=230×(180π)
Simplifying the expression: Simplify the expression by multiplying 230 by π and then dividing by 180.radians=180230×π
Dividing numerator and denominator by greatest common divisor: We can simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor, which is 10 in this case.radians =(23×π)/18
Final answer: The fraction (23×π)/18 is already in its simplest form, so this is our final answer.
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