How many radians are in $180°$?

• A. $\frac{\pi }{2}$
• B. $2\pi$
• C. $1$
• D. $\pi$

Answer: (D)

Verified step by step guidance

1. Recall the relationship between degrees and radians: \$180^\circ\( is equivalent to \)\pi$ radians.
2. Understand that the conversion formula from degrees to radians is given by: \(\text{radians} = \text{degrees} \times \frac{\pi}{180}\).
3. Apply the formula to convert \$180^\circ\( to radians: \)180 \times \frac{\pi}{180}$.
4. Simplify the expression by canceling out the 180 in numerator and denominator: \(\pi\).
5. Conclude that \$180^\circ\( equals \)\pi$ radians.