Chapter 84, Problem 1A

To determine

The polar coordinates of points from A to H.

Answer to Problem 1A

Polar coordinates of points from A to H are $\left(4,40°\right)$, $\left(5,120°\right)$, $\left(3,160°\right)$, $\left(4.5,180°\right)$, $\left(3.5,220°\right)$, $\left(1,300°\right)$, $\left(4.5,305°\right)$ and $\left(4.5,305°\right)$ respectively.

Explanation of Solution

Given:

All the points are shown below:

  

Calculation:

  

Polar coordinates of the points can calculated from the above figure as follows:

Coordinate of point A is $\left(4,40°\right)$.

Coordinate of point B is $\left(5,120°\right)$.

Coordinate of point C is $\left(3,160°\right)$.

Coordinate of point D is $\left(4.5,180°\right)$.

Coordinate of point E is $\left(3.5,220°\right)$.

Coordinate of point F is $\left(1,300°\right)$.

Coordinate of point G is $\left(4.5,305°\right)$.

Coordinate of point H is $\left(4.5,305°\right)$.

Thus, polar coordinates of points from A to H are $\left(4,40°\right)$, $\left(5,120°\right)$, $\left(3,160°\right)$, $\left(4.5,180°\right)$, $\left(3.5,220°\right)$, $\left(1,300°\right)$, $\left(4.5,305°\right)$ and $\left(4.5,305°\right)$ respectively.

Conclusion:

Polar coordinates of points from A to H are $\left(4,40°\right)$, $\left(5,120°\right)$, $\left(3,160°\right)$, $\left(4.5,180°\right)$, $\left(3.5,220°\right)$, $\left(1,300°\right)$, $\left(4.5,305°\right)$ and $\left(4.5,305°\right)$ respectively.