QQuestionMathematics
QuestionMathematics
"Convert the angle in degrees to radians. Round to two decimal places.
125 Degrees. (Simplify your answer. Type an exact answer in terms of pi. Use integers or fractions for any numbers in the expression.)"
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Answer
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Step 1:: Recall the formula to convert an angle from degrees to radians.
\text{radians} = \frac{\pi}{180^{\circ}} \times \text{degrees}
The formula is:
Step 2:: Substitute the given angle in degrees into the formula.
\text{radians} = \frac{\pi}{180^{\circ}} \times 125^{\circ}
In this case, the given angle is 125 degrees. So, we get:
Step 3:: Simplify the expression.
\text{radians} = \frac{\pi \times 125}{180 \times 125} = \frac{\pi}{180} \times \frac{125}{125} = \frac{\pi}{180} \times 1
Multiply both the numerator and the denominator by 125 to get:
Step 4:: Since 1 is the multiplicative identity, we can simplify the expression to:
\text{radians} = \frac{\pi}{180}
Final Answer
The equivalent angle in radians is \frac{\pi}{180}.
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