Convert \( 256^{\circ} \) to radians. Give your answer in exact form.

To convert degrees to radians, we use the formula: \[ r = d \cdot \frac{\pi}{180} \] where \( r \) is the angle in radians and \( d \) is the angle in degrees. For \( 256^{\circ} \), we can set up the conversion as follows: \[ r = 256 \cdot \frac{\pi}{180} \] Now, let's simplify this expression. Calculate the value by following steps: - step0: Calculate: \(256\times \frac{\pi }{180}\) - step1: Reduce the numbers: \(64\times \frac{\pi }{45}\) - step2: Multiply: \(\frac{64\pi }{45}\) The exact form of \( 256^{\circ} \) converted to radians is \( \frac{64\pi}{45} \).