# If the centre of a circle is (7,-3) and the point on the circle is (5,2). Find the area of the circle.

$\begin{array}{l}\text{Given,}\\ \text{Center of circle}\left(7,-3\right),\ \text{Point on circle}\ \left(5,2\right)\\ \text{Radius of circle is distance bwteen center and point on circle.}\\ r=\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}=\sqrt{\left(7-5\right)^2+\left(-3-2\right)^2}=\sqrt{29}\\ area\ of\ circle=\pi r^2=\pi\left(\sqrt{29}\right)^2=29\pi\end{array}$

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