Geometry

Question Analysis

This question focuses on applying the formula for converting degrees to radians, testing your ability to transform angular measurements from the degree system to the radian system accurately.

 

Key Concept Explanation

The formula for converting degrees to radians is . This is derived from the fact that a full - circle is or radians, so to convert an angle in degrees to radians, we multiply the degree measure by the ratio .

 

Step-by-Step Solution

1. Given the angle .

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

3. Simplify the expression:

First, find the greatest common divisor of 465 and 180, which is 15.

Divide both the numerator and denominator by 15: . So, is radians.

 

Option Analysis

A.: As calculated above,

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