Coordinate geometry › Polar and parametric curves › Areas in polar coordinates

Area of a triangle in polar coordinates

High school · ●○○○○ 10 pts

In the polar coordinate system, points A(2,π6)A\left(2, \frac{\pi}{6}\right) and B(4,π3)B\left(4, \frac{\pi}{3}\right) are given, and OO is the pole. Find the area SS of △AOB\triangle AOB.

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polar coordinatestriangle area