1.

Find the area of the circle whose centre is (-1, -2) and `(3,4)` is a point on the circle .

Answer» Let the centre of the circle of the circle be A(-1,-2) , and the point on the circumference be B(3,4) .
Radius of circle = AB
`= sqrt((3-(-1))^(2) + (4-(-2))^(2)) = sqrt(52)` units .
`therefore` The area of the circle = `pir^(2)`
= `pi(sqrt(52))^(2) = 52 pi ` sq. units.


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