Multiple Choice
If arc CD is one-fourth of the circumference of a circle, what is the radian measure of the central angle subtended by arc CD?
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1. Measuring Angles
Radians
Multiple Choice
How many radians is ?
A
B
C
D
Verified step by step guidance1
Recall the formula to convert degrees to radians: \(\text{radians} = \text{degrees} \times \frac{\pi}{180}\).
Substitute the given degree measure into the formula: \(280^\circ \times \frac{\pi}{180}\).
Simplify the fraction \(\frac{280}{180}\) by dividing numerator and denominator by their greatest common divisor.
Express the simplified fraction multiplied by \(\pi\) as a single fraction in terms of \(\pi\).
Write the final answer in the form \(\frac{a\pi}{b}\), where \(a\) and \(b\) are integers with no common factors.
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