Leave the symbol \( \pi \) or "pi" in your answer. 1. The radian equivalent of \( 200^{\circ} \) is equal to \( 10 \mathrm{pi/9} \) 2. The radian equivalent of \( -25^{\circ} \) is equal to \( -5 \mathrm{pi} / 36 \) radians. Blank 1: 10 pi/9 Blank \( 2:-5 \) pi/36

Did you know that the concept of radians came about in ancient Greece? The term "radian" was first used in the 19th century, but the relationship between circular geometry and angles was explored by mathematicians like Archimedes. Radians help connect the arc length of a circle with its radius, making them critical for calculus and engineering! When converting degrees to radians, a common mistake is forgetting to multiply by \( \pi / 180 \). It’s a simple slip that can lead to big inaccuracies! Remember that while degrees measure angles based on a circle's divisions, radians relate directly to circular distances, making them incredibly handy in trigonometry and physics!