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# Help, again!

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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 $$\pi$$ .

tertre  Dec 3, 2017
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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

CPhill  Dec 3, 2017

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