# Convert polar coordinates to rectangular coordinates | Summary and Q&A

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February 18, 2018
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Convert polar coordinates to rectangular coordinates

## TL;DR

Learn how to convert polar coordinates to rectangular coordinates using the formulas x = r * cos(theta) and y = r * sin(theta).

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### Q: How are polar coordinates represented?

Polar coordinates are represented as (r, theta), where r is the distance from the origin and theta is the angle.

### Q: What formulas are used to convert polar coordinates to rectangular coordinates?

The formulas used are x = r * cos(theta) and y = r * sin(theta).

### Q: How does the x-coordinate represent the horizontal distance?

The x-coordinate represents the horizontal distance from the origin.

### Q: What does the y-coordinate represent in rectangular coordinates?

The y-coordinate represents the vertical distance from the origin.

## Summary & Key Takeaways

• Polar coordinates are represented as (r, theta), where r is the distance from the origin and theta is the angle.

• To convert polar coordinates to rectangular coordinates, use the formulas x = r * cos(theta) and y = r * sin(theta).

• The x-coordinate represents the horizontal distance and the y-coordinate represents the vertical distance.