Which set of polar coordinates are plotted in the graph below?

Question

cdemiller · Answer

attachment

jim_thompson5910 · Answer

Start at the center where all the straight lines meet. This is known as the pole

how many rings must you count to go from the pole to the red point?

cdemiller · Answer

2

jim_thompson5910 · Answer

so r = 2 or r = -2

let's assume r = 2 for now

we need to know the angle theta

jim_thompson5910 · Answer

notice how the circles are divided into twelve pie slices

there are 2pi radians in a full circle

notice how I've highlighted 4 arcs on the drawing (see attached)

jim_thompson5910 · Answer

we divide 4 into 12 to get

4/12 = 1/3

so 1/3 of the full revolution (2pi) is the angle

(1/3)*(2pi) = 2pi/3

jim_thompson5910 · Answer

hopefully this makes sense?

cdemiller · Answer

Okay, I understand now. Thank you so much for your help!

jim_thompson5910 · Answer

no problem