What is the radian measure of 135°?
Correct Answer :
Solution :
The correct answer is .
To convert an angle from degrees to radians, we use the conversion factor derived from the relationship that a straight angle of 180° is equal to π radians:
Substitute the given degree measure (135°) into the formula:
Now, simplify the fraction by finding the greatest common divisor (GCD) of 135 and 180, which is 45:
Reducing the fraction gives .
Therefore, multiplying by π gives:
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