Given a circle U which has a center at coordinates (1,3) and a point on its circumference at (2, 2), what is the area of the circle?

We can find the radius by using the distance formula between these towo points...so we have...

sqrt [ (2 -1)^2 + (3 - 2)^2  ]  =  sqrt [ 1 + 1]  = sqrt (2)

And the area of the circle =

pi * (radius)^2  =

pi * (  sqrt (2) ) ^2  =

pi * 2  =

2 pi   units^2