Geometry
Question
How many radians is 720°?
Options
Answer & Analysis
Answer
Analysis
Question Analysis
This question focuses on applying the degree - to - radian conversion formula, testing the ability to correctly transform an angle measure from the degree system to the radian system.
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 convert any angle in degrees to radians, we multiply by .
Step - by - Step Solution
1. Given the angle .
2. Apply the conversion formula: Substitute into , we get .
3. Simplify the expression: radians.
Option Analysis
A. radians: As calculated, converts to radians, so this is the correct option.
B.
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