# How do i find the area

#### mathelord

how do i find the area of a shape like a sector,but having different lenghts

#### amcavoy

A sector of a circle? By different lengths, do you mean the radius varies? If that is what you mean, you could use polar coordinates in which the area would be:

$$\frac{1}{2}\int_{\alpha}^{\beta}f(\theta)^{2}d\theta$$

I don't know if this is exactly what you are asking, so maybe someone else can clear it up.

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