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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 11, 2020
 #1
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Find length of the diameter with distance equation..... then area =  pi r2     whre r= 1/2 d

 

Distance = sqrt (  (3-7)2 + (5-10))

               = sqrt (16 + 25)

             diameter = 7 units          

                            r = 3.5 units           area = pi (3.5)2    units2

 Dec 11, 2020
 #3
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16+25=41  NOT 49laugh

Guest Dec 11, 2020
 #2
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Diameter length = sqrt  [ (7-3)^2  +  ( 10 - 5)^2  ] =  sqrt  [ 4^2  + 5^2]  =  sqrt [ 41]

 

Radius =  sqrt (41) /2

Radius^2  = 41/4

 

Area of  circle =  pi r^2=     pi * (41/4)  =   (41/4) pi   units^2

 

cool cool cool

 Dec 11, 2020

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