00:01
Suppose i have the rectangular coordinates x, y, and i'm converting to polar, which is r, the radius of a circle, and theta, the angle at which going counterclockwise, i'm hitting that point on the circle.
00:13
So what are some equations that i can use to convert between x and y? well, x4 plus y squared equals r squared, my radius squared, and i also know that tangent of theta equals y over x.
00:23
So the first thing i can do is just find the radius.
00:26
So i'm going to do negative 2 squared plus 5 squared equals r squared.
00:32
Negative 2 times negative 2 is 4.
00:35
5 times 5 is 25 equals r squared.
00:38
4 plus 5 is 29.
00:40
R squared equals 29.
00:42
Okay, so i'm going to take the square root of both sides.
00:44
So it's square to 29.
00:46
Well, this is not a perfect square, but my radius will be approximately 5 .38, rounds in the nearest 10th.
00:53
Does that 8 run up that 3? it does.
00:55
So my radius is approximately 5 .4.
00:59
What about my theta? well, i know that tangent of theta equals y over x, so 5 divided by negative 2.
01:07
Okay...