Geometry
Question
How many radians is 135°?
Options
Answer & Analysis
Answer
Analysis
Question Analysis
This question focuses on using the correct conversion formula to change an angle measure from degrees to radians, 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 the ratio is used for conversion.
Step - by - Step Solution
1. Given the angle .
2. Apply the conversion formula: .
3. Simplify the fraction: by dividing both the numerator and denominator by 45.
Option Analysis
A. radians: As calculated, converts to radians, so this is the correct option.
B. radians: Since , this corresponds to
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