Question

which measurement is equal to ( pi ) radians?

• ( 90^circ )
• ( 180^circ )
• ( 270^circ )
• ( 360^circ )

Explanation:

Step1: Recall the radian to degree conversion formula

The formula to convert radians to degrees is \( \text{Degrees} = \text{Radians} \times \frac{180^\circ}{\pi} \).

Step2: Substitute \( \pi \) radians into the formula

Substitute \( \text{Radians} = \pi \) into the formula: \( \text{Degrees} = \pi \times \frac{180^\circ}{\pi} \).

Step3: Simplify the expression

The \( \pi \) in the numerator and denominator cancels out, leaving \( \text{Degrees} = 180^\circ \).

Answer:

180° (corresponding to the option "180°")