Area of Triangle Formed by a Point and the Centre

Area of Triangle Formed by a Point and the Centre

For:

$$P(a\cos\theta,b\sin\theta)$$

the area of the triangle formed by the centre and the two coordinate-axis intercepts through the point is:

$$\Delta=\frac{ab}{2}|\sin2\theta|$$

Usage

- Used in area problems involving a parametric point and the coordinate axes.