How many radians is $126°$?

• A. $\frac{21\pi }{20}$
• B. $\frac{11\pi }{15}$
• C. $\frac{9\pi }{10}$
• D. $\frac{7\pi }{10}$

Answer: (D)

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: \$126^\circ \times \frac{\pi}{180}$.
3. Simplify the fraction \(\frac{126}{180}\) by finding the greatest common divisor (GCD) of 126 and 180.
4. Divide numerator and denominator by the GCD to reduce the fraction to its simplest form.
5. Express the final answer as a simplified fraction multiplied by \(\pi\), i.e., \(\frac{7\pi}{10}\) radians.