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

Did you know that the concept of radians dates back to ancient Greece? The earliest uses can be traced to mathematicians like Archimedes, who utilized the circle's geometry to calculate things such as areas and perimeters. Radians provide a natural way to understand angles in relation to the circle's radius, which is super handy for calculus and trigonometry! Now, if you want to put those radians to practical use, consider navigation and physics. For instance, when calculating the trajectory of a projectile or planning a course for an aircraft, knowing angles in radians simplifies many trigonometric calculations, allowing for smoother and more accurate results in real-life scenarios. So, the next time you see an angle, think about how that radian measure can help you in the real world!