Question

I need to plot a circle centered at (0,0) in R. Then I would like to plot points in that circle specified in radius and degrees. Could anyone point me in the right direction for this task?

Answer 1

In base graphics:

r <- 3*runif(10)
degs <- 360*runif(10)

# First you want to convert the degrees to radians

theta <- 2*pi*degs/360

# Plot your points by converting to cartesian

plot(r*sin(theta),r*cos(theta),xlim=c(-max(r),max(r)),ylim=c(-max(r),max(r)))

# Add a circle around the points

polygon(max(r)*sin(seq(0,2*pi,length.out=100)),max(r)*cos(seq(0,2*pi,length.out=100)))

Note that at least one of the points will be on the border of the circle, so if you dont want this you would have replace of the max(r) statments with something like 1.1*max(r)