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question 6
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convert the following angle from degrees to radians. express your answer in simplest
form.
615°
answer
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π

Explanation:

Step1: Recall the conversion formula

To convert degrees to radians, use the formula: radians = degrees $\times\frac{\pi}{180}$.

Step2: Substitute the value of degrees

For $615^{\circ}$, we have $615\times\frac{\pi}{180}$.

Step3: Simplify the fraction

First, find the greatest common divisor (GCD) of 615 and 180. The GCD of 615 and 180 is 15.
Divide both the numerator and denominator by 15: $\frac{615\div15}{180\div15}\times\pi=\frac{41}{12}\pi$.

Answer:

$\frac{41\pi}{12}$