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# Angular Coordinates

(KS2, Year 6)

## The Lesson

The angular coordinate is the second number in the pair of numbers used to describe polar coordinates. For example, in the polar coordinates**(5, 45°)**, angular coordinate is

**45°**(the number on the right):

The angular coordinate is sometimes called the polar angle or the azimuth. It can be measured in degrees or radians.

## What Does the Angular Coordinate Mean?

The angular coordinate tells you what angle the point is (in the counter-clockwise direction) from the polar axis. If a point has polar coordinates**(5, 45°)**, the point would be

**45°**from the polar axis. The image below shows what we mean by a point being 45° from the polar axis:

## Using a Polar Grid to Find the Angular Coordinate

A polar grid can be used to find the angular coordinate. A polar grid is shown below:A line from the pole is shown in red. If we read along the line, we see that it is labelled

**45°**. All points on this line are

**45°**from the polar axis.

## Beware

## Counter-Clockwise

The angular coordinate is measured in the**counter-clockwise**(or

**anti-clockwise**) direction:

Make sure you do not measure the angular coordinate in the clockwise direction:

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