Geometry
Question
How many radians is 45°?
Options
Answer & Analysis
Answer
Analysis
Question Analysis
The main focus is on using the standard degree - to - radian conversion formula to accurately convert an angle measure given in degrees to radians. This tests the understanding of the relationship between the two units of angular measurement.
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 any angle in degrees to radians, we multiply the degree measure by the fraction .
Step-by-Step Solution
1. Given the angle .
2. Apply the conversion formula: .
3. Simplify the fraction: .
Option Analysis
A. radians: Since , this option corresponds to , not .
B. radians: As
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