Convert $$ 300^{\circ} $$ to radian measure in terms of $$ \pi $$.

Question

UpStudy AI · Accepted Answer

Given that to convert degrees to radians we use the conversion factor:

$$
\text{Radians} = \text{Degrees} \times \frac{\pi}{180}
$$

Substitute $$300^\circ$$ into the formula:

$$
300^\circ = 300 \times \frac{\pi}{180} = \frac{300\pi}{180}
$$

Simplify the fraction by dividing the numerator and denominator by 60:

$$
\frac{300\pi}{180} = \frac{5\pi}{3}
$$

Thus, the radian measure of $$300^\circ$$ is $$\frac{5\pi}{3}$$.
$$300^\circ$$ is equal to $$\frac{5\pi}{3}$$ radians.

Convert \( 300^{\circ} \) to radian measure in terms of \( \pi \).