As a kid, I used to do this all the time: Draw a circle using PLOT with SIN and COS - taking about 13 seconds. I had no clue that "render" time could be significantly reduced by using precalculations and other tricks.
10 MODE 1:INK 0,0:BORDER 0:INK 1,2:INK 2,6:INK 3,18
20 DEG:DIM s%(360),c%(360):x%=320:y%=298:p%=1
30 ORIGIN x%,y%:FOR n%=0 TO 360:s%(n%)=SIN(n%)*100:c%(n%)=COS(n%)*100:PLOT s%(n%),c%(n%),p%:NEXT
40 FOR t%=1 TO 15:LOCATE 1,1:PRINT CHR$(11)
50 p%=p%+1:IF p%=4 THEN p%=1
60 GOSUB 90:NEXT
70 LOCATE 1,1:PRINT CHR$(11):p%=p%+1:IF p%=4 THEN p%=1
80 GOSUB 90:GOTO 70
90 PLOT s%(0),c%(0),p%:FOR n%=0 TO 360 STEP t%:DRAW s%(n%),c%(n%),p%:NEXT:DRAW s%(0),c%(0),p%:RETURN