Write the area of the circle passing through (-2, 6) and having its centre at (1,2).

Explanation

Distance between the two points` (x_{1}, y_{1}) and (x_{2}, y_{2})` is


` sqrt{(x_{1}-x_{2})^{2}+(y_{1}-y_{2})^{2}}`


[# XI_RD_24_066]
Assume r is the radius of the circle.


`Rightarrow r=sqrt{(1-(-2)^{2}+(2-6)^{2}}`


`Rightarrow r=sqrt{(3)^{2}+(-4)^{2}} `


`Rightarrow r=sqrt{9+16}`


`Rightarrow r=sqrt{25} `


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