The Distance Formula in Polar Coordinates - Concept

Concept Concept (1)

In order to calculate the distance from two points in polar coordinates, we use the polar coordinates distance formula. In order to derive the polar coordinates distance formula, we use the law of cosines. We can also use the polar coordinates distance formula to help us come up with the polar equation for a circle centered at the origin.

Sample Sample Problems (3)

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The Distance Formula in Polar Coordinates - Problem 1
Problem 1
How to find the distance between two points, (3, 7*pi/6) and (5, pi/2), given their polar coordinates.
The Distance Formula in Polar Coordinates - Problem 2
Problem 2
How to find the distance between two points, (6, 4*pi/3) and (8, -pi/2), given their polar coordinates.
The Distance Formula in Polar Coordinates - Problem 3
Problem 3
How to derive the polar equation of a circle given its center and radius.