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find the stander equation of the circle having a diameter the segment joining (2,-3) and (6,5) .

 Nov 18, 2019
 #1
avatar+105370 
+2

The midpoint  of the two points will be the center of the  circle

 

So

 

( [ 2 + 6 ] / 2 , [ -3 + 5 ] /2 )   =   ( 4 , 1)   is the center

 

To find the radius^2   use the center and either point...so we have

 

(4 - 6)^2 + ( 1 - 5)^2  = r^2

 

(2)^2 + (4)^2  = r^2

 

4 + 16  = r^2

 

20  = r^2

 

So....the equation is

 

(x - 4)^2 + ( y - 1)^2  = 20

 

See the graph here : https://www.desmos.com/calculator/xl9ckproc3

 

 

 

cool cool cool

 Nov 18, 2019
edited by CPhill  Nov 18, 2019
 #2
avatar+60 
+1

thanks dear 

shgg111  Nov 18, 2019

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