Q:

How do you convert polar coordinates to rectangular coordinates?

A:

Quick Answer

There are two formulas to convert polar coordinates to rectangular coordinates. The cosine of the angle times the radius determines the rectangular x-coordinate, and the sine of the angle times the radius determines the rectangular y-coordinate.

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Full Answer

While the x and y values of rectangular coordinates are based on the distance of the point from each axis, the first value of polar coordinates is based on the radius of a circle between said point and the point (0, 0). The second value is based on the degrees of the angle measured counter-clockwise from x-axis in the first quadrant.

Rectangular coordinates are also known as Cartesian coordinates.

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