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270° = radians (simplify your answer. type an integer or a fraction.)

Question

270° = radians (simplify your answer. type an integer or a fraction.)

Explanation:

Step1: Recall conversion formula

The formula to convert degrees to radians is $\text{radians}=\frac{\pi}{180}\times\text{degrees}$.

Step2: Substitute the value

Substitute degrees = 270 into the formula: $\text{radians}=\frac{\pi}{180}\times270$.

Step3: Simplify the expression

$\frac{\pi\times270}{180}=\frac{3\pi}{2}$.

Answer:

$\frac{3\pi}{2}$