Geometry

Question Analysis

This question focuses on applying the formula for converting degrees to radians, testing your understanding of the relationship between the degree and radian systems of angular measurement.

 

Key Concept Explanation

The formula for converting degrees to radians is . This formula is derived from the fact that a full circle is  or  radians. So, to transform an angle from degrees to radians, we multiply the degree measure by .

 

Step-by-Step Solution

1. Given the angle .

2. Apply the conversion formula: Substitute  into , we get .

3. Simplify the expression: Divide both the numerator and denominator by their greatest common divisor, which is 36. So, .

 

Option Analysis

A.: Since

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