# Region D in Polar Coord

• Swapnil
In summary, Region D in Polar Coord is the second quadrant in a polar coordinate system with a theta angle between 90 and 180 degrees. It is represented by points with positive radius and negative theta values. The coordinates of points in this region are (r, -θ). Real-life examples of Region D include the position of a boat or plane traveling northeast, storm movement, and satellite orbits. In mathematics and science, Region D is used for data representation and analysis, as well as in navigation, astronomy, and engineering applications.

#### Swapnil

How would you write the region D given by

$$$D: \left\{ \begin{array}{l l} \frac{-d}{2} \leq y \leq \frac{d}{2} \\ -\infty < x < \infty \\ \end{array} \right.$$$

in polar coordinates?

Last edited:
first think about how you write the equation of a straight line in polar coord...

Or, more specifically, how to write x and y in polar coordinates. Replace x and y in the inequalities with those and solve the inequalities.

## 1. What is Region D in Polar Coord?

Region D in Polar Coord refers to the area in a polar coordinate system where the theta angle is between 90 and 180 degrees. This region is also known as the second quadrant.

## 2. How is Region D represented in a polar coordinate system?

In a polar coordinate system, Region D is represented by points with positive values for the radius and negative values for the theta angle.

## 3. What are the coordinates of points in Region D?

The coordinates of points in Region D are in the form (r, -θ), where r is the distance from the origin and θ is the angle in degrees or radians.

## 4. What are some real-life examples of Region D in Polar Coord?

Some real-life examples of Region D in Polar Coord include the position of a boat or plane traveling northeast, the direction and distance of a storm moving southeast, and the location of a satellite orbiting the Earth in a counterclockwise direction.

## 5. How is Region D used in mathematics and science?

Region D in Polar Coord is used in mathematics and science to represent and analyze data in a polar coordinate system. It is also used in applications such as navigation, astronomy, and engineering.