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Question
question 6
convert the angle in degrees to radians.
255°
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Step1: Recall conversion formula
To convert degrees to radians, use the formula: radians = degrees × $\frac{\pi}{180}$.
Step2: Substitute the value
Substitute 255° into the formula: $255\times\frac{\pi}{180}$.
Step3: Simplify the fraction
Simplify $\frac{255}{180}$ by dividing numerator and denominator by 15. $\frac{255\div15}{180\div15}=\frac{17}{12}$.
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$\frac{17\pi}{12}$ radians