Points \(A(3,5)\) and \(B(7,10)\) are the endpoints of a diameter of a circle graphed in a coordinate plane. How many square units are in the area of the circle? Express your answer in terms of \(\pi\) .
The distance between these points is =
√ [ (7 - 3)^2 + (10 - 5) ^2 ) =
√[ 4^2 + 5^2] =
√ [16 + 25 ] =
√ 41 and this is the diameter......so the radius = √41/2
So....the area is
pi * (radius)^2 =
pi *( √41 / 2)^2 =
(41/4)pi units^2
+4622 
