Geometry

Question Analysis

The main focus is applying the standard degree - to - radian conversion formula to accurately transform the angle measure of into its equivalent in radians, testing knowledge of angular unit conversion.

 

Key Concept Explanation

The formula for converting degrees to radians is . This formula is derived from the fact that a full - circle rotation is or radians. So, to convert any angle given in degrees to radians, we multiply the degree value by the ratio .

 

Step-by-Step Solution

1. Given the angle .

2. Apply the conversion formula: .

3. Simplify the fraction:

Find the greatest common divisor of and , which is .

Divide both the numerator and denominator by : .

 

Option Analysis

A. radians: Since , this option corresponds to , not .

B. radians: Since

Click "Show Answer" to reveal the answer and analysis