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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 \(\pi\) .

 Dec 3, 2017
 #1
avatar+98125 
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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

 

 

cool cool cool

 Dec 3, 2017

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