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Points $A(-1, -2)$ and $B(3, 2)$ 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 $\pi$.

 Feb 1, 2021
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Find  the distance  between  A  and  B

 

sqrt  [ ( 3 - - 1)^2  +  (  2  - - 2)^2  ]  =  sqrt  [ 4^2  + 4^2 ]  =  sqrt (32)  

 

Take  1/2 of this  =    sqrt (32)   / 2  =    the radius of the  circle

 

Area =    pi   (sqrt (32)   / 2 ) ^2   =     pi  (32 / 4)  =     8 pi    units^2

 

 

cool cool cool

 Feb 1, 2021

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