Geometry

Question Analysis

The main focus is using the degree - to - radian conversion formula to transform an angle given in degrees () into its radian equivalent, testing knowledge of angular unit conversion.

 

Key Concept Explanation

The formula for converting degrees to radians is . This is based on the fact that a full circle is or radians. So, to change any angle from degrees to radians, we multiply the degree measure by .

 

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: Correct. As calculated above, converts to radians.

B. radians: Since

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