Problem 107 - Algebra and Trigonometry

Question

Describe how to convert an angle in degrees to radians.

Step-by-Step Solution

Answer

To convert an angle x from degrees to radians, you multiply x by \( \frac {\pi}{180} \). The angle in radians then becomes: \( x \times (\pi/180) \) radians.

Step 1: Identify the angle in degrees

Firstly, the exact measurement of the angle in degrees must be identified or given. This is critical as it's the value to be converted to radians.

Step 2: Apply the conversion formula

With the angle known, next step is to apply the conversion formula. As stated in the problem analysis, the conversion formula from degrees to radians is \(1^{\circ}= (\pi/180) radians\). Therefore, if you want to convert x degrees to radians, you multiply x by \( \frac {\pi}{180} \). So if the angle in degrees is x, in radians it would be: \( x \times (\pi/180) \) radians.

Step 3: Calculate the result

The final step involves the arithmetic section of this problem, which would be to multiply the angle in degrees by the multiplier \( \frac {\pi}{180} \). This would provide you with the angle in radians. Using this result, you should have the equivalent of your angle in radians.