Geometry
Question
How many radians is 80°?
Options
Answer & Analysis
Answer
Analysis
Question Analysis
This question focuses on applying the formula for converting degrees to radians, testing the understanding of the relationship between degree and radian as units of angular measurement.
Key Concept Explanation
The formula for converting degrees to radians is . This is because a full circle is or radians. To convert an angle given in 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: (by dividing both the numerator and denominator by 20).
Option Analysis
A.: As calculated above, is equal to radians, so this is the correct option.
B.
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