A road is in a Circular form reaching from A to B, with radius of \( 1,4 \mathrm{~km} \) a) Calculate the distance and the displacement from A to B hint: Circumference of Circle \( =2 \pi r \)

To find the distance from A to B along the circular road, you first need to know the angle subtended at the center of the circle. If we assume that A and B are points forming an arc directly across the circle, you can use the circumference formula \( C = 2\pi r \). For a radius \( r = 1.4 \) km, the total circumference is approximately \( 8.796 \) km. If A and B are directly opposite (180 degrees apart), the distance would be half of that, so about \( 4.398 \) km. On the other hand, the displacement is the straight-line distance from A to B, which in this case would equal the diameter of the circle. The diameter can be calculated as \( d = 2r = 2 \times 1.4 \) km, yielding a displacement of \( 2.8 \) km. A fun visual to keep in mind here is that while your vehicle might take a scenic route, the straight-line distance between two points is always the shortest route!