what is 270° converted to radians?\n$\frac{pi}{6}$\n$\frac{3}{2}$\n$\frac{3pi}{2}$\n3

what is 270° converted to radians?\n$\frac{pi}{6}$\n$\frac{3}{2}$\n$\frac{3pi}{2}$\n3

what is 270° converted to radians?\n$\frac{pi}{6}$\n$\frac{3}{2}$\n$\frac{3pi}{2}$\n3

Answer

Answer:

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

Explanation:

Step1: Recall conversion formula

$1^{\circ}=\frac{\pi}{180}$ radians

Step2: Convert 270 degrees

$270\times\frac{\pi}{180}=\frac{270\pi}{180}$

Step3: Simplify the fraction

$\frac{270\pi}{180}=\frac{3\pi}{2}$