MathematicsIf the perimeter of a sector is ‘P’ units and its radius is ‘r’ units, then its area is

If the perimeter of a sector is ‘P’ units and its radius is ‘r’ units, then its area is

$\begin{array}{l} p = l + 2 r \\ \Rightarrow l = p - 2 r \\ ∴ A r e a = \frac{l r}{2} \\ = \frac{(p - 2 r) r}{2} \end{array}$

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