Question

Convert each angle to radian measure. $$ 330^{\circ} $$

Short answer

The angle \(330^{\circ}\) is equivalent to \(\frac{11\pi}{6}\) radians.

Step-by-step solution

Given angle

The provided angle in degree measure is \(330^{\circ}\). Step 2: Determine the conversion factor

Conversion factor

The conversion factor between degrees and radians is \(\frac{\pi}{180^{\circ}}\). Step 3: Convert the angle to radians

Conversion to radians

To convert \(330^{\circ}\) to radians, multiply by the conversion factor: \(330^{\circ} \times \frac{\pi}{180^{\circ}} = \frac{330\pi}{180}\) Step 4: Simplify the expression

Simplification

Now, we need to simplify the expression. We can see that \(330\) and \(180\) share a common factor of 30: \(\frac{330\pi}{180} = \frac{11\pi}{6}\) So, the angle \(330^{\circ}\) is equivalent to \(\frac{11\pi}{6}\) radians.