Question

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

Answer 1

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?

Answer 2

2

Answer 3

so r = 2 or r = -2

let's assume r = 2 for now

we need to know the angle theta

Answer 4

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)

Answer 5

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

Answer 6

hopefully this makes sense?

Answer 7

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

Answer 8

no problem