One afternoon, a couple walks three-fourth of the way around a circular lake, the radius of which is 1.45km. They start at the south side of the lake and head due east at the beginning of their walk. (a) What is the distance they travel? (b) What are the magnitude and direction (relative to due west) of the couple’s displacement?

1 answer

distance= 1/4* 2PI*radius

they are going NE, so relative to due West, 135 deg.

magnitude= sqrt(2r^2)=r*1.414