Problem 34 - Precalculus Essentials

Question

Convert each angle in degrees to radians. Round to two decimal places. $$250^{\circ}$$

Step-by-Step Solution

Answer

The angle \(250^{\circ}\) is approximately \(4.36\) radians when rounded to two decimal places.

Step 1: Identify the given angle in degrees

In this exercise, the given angle is \(250^{\circ}\). We are tasked with converting it into radians.

Step 2: Use the conversion factor

To convert the angle in degrees to radians, multiply the given degrees by the conversion factor \(\frac{\pi}{180}\).\nTherefore: \n\(250^{\circ} * \(\frac{\pi}{180}\) = 4.36...radians\).

Step 3: Round to two decimal places

Now we must round our result to two decimal places. This gives us \(\approx4.36\) radians.