can someone give me the applications of Polar coordinate System in daily life with at least 3 examples. i can do it on paper . but im kinda confused about real life application of polar coordinates.
Navigation and targeting are the most common use of polar coordinates I can think of off hand. Positions of ships or other objects relative to yourself or some other object are frequently given as a range and a bearing.
Latitude and longitude are based on polar coordinates.
Clocks are sort of based on polar coordinates with each minute being equivalent to a 6 degree angular change.
If you ever get into problems involving pendulums these are generally done using polar coordinates.
Hello, victor6!
I have introduced Polar Coordinates
to my students like this . . .
You give directions from your friend's house $\displaystyle (A)$ to your house $\displaystyle (B)$.
If this is in a city, your direction might go like this:
. . Go 4 blocks east and 3 blocks north.
The coordinates of your house are: $\displaystyle (4,3).$Code:* B | + | 3 + | A * - + - + - + - * 4
If you are located in the woods,
your directions would be different.
You might say:Code:* B * : 5 * : * : * 36.9^{o} : A * - - - - - - -*
. . Face east.
. . Turn north about 36.9^{o}.
. . Walk out 5 blocks.
The polar coordinates of your house are: $\displaystyle (5,\,36.9^o)$