How many radians is $280°$?

• A. $\frac{5\pi }{4}$
• B. $\frac{14\pi }{9}$
• C. $\frac{8\pi }{5}$
• D. $\frac{7\pi }{9}$

Answer: (B)

Verified step by step guidance

1. Recall the formula to convert degrees to radians: \(\text{radians} = \text{degrees} \times \frac{\pi}{180}\).
2. Substitute the given degree measure into the formula: \(280^\circ \times \frac{\pi}{180}\).
3. Simplify the fraction \(\frac{280}{180}\) by dividing numerator and denominator by their greatest common divisor.
4. Express the simplified fraction multiplied by \(\pi\) as a single fraction in terms of \(\pi\).
5. Write the final answer in the form \(\frac{a\pi}{b}\), where \(a\) and \(b\) are integers with no common factors.