What is $$ 270^{\circ} $$ converted to radians? $$ \frac{\pi}{6} $$ $$ \frac{3}{2} $$ $$ \frac{3 \pi}{2} $$ 3

Question

UpStudy AI · Accepted Answer

We start by using the conversion formula from degrees to radians:
$$
\text{Radians} = \text{Degrees} \times \frac{\pi}{180}
$$

Substitute $$270^\circ$$ into the formula:
$$
270 \times \frac{\pi}{180}
$$

Simplify the fraction $$ \frac{270}{180} $$ to get:
$$
\frac{270}{180} = \frac{3}{2}
$$

Thus, the angle in radians is:
$$
\frac{3}{2} \pi = \frac{3\pi}{2}
$$

So, $$270^\circ$$ is equivalent to $$\frac{3\pi}{2}$$ radians.
$$270^\circ$$ is equal to $$\frac{3\pi}{2}$$ radians.

What is converted to radians?

3