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A circle in the coordinate plane is tangent to the y-axis at the point (0,5) and passes through the point (12,0). Find the radius of the circle.

 Dec 8, 2020
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Since the circle is tangent at (0,5)   the  center  is  (a,5)

The  distance  from  this point to the gfiven points is equal.....so we can solve the simplified distance^2  formula for  a

 

a^2   =   (12 -a)^2  + ( 5)^2    simplify

 

a^2 = a^2 - 24a  + 144 + 25

 

24a = 169

 

a = 169/24    =  the  radius

 

See  the graph here :  https://www.desmos.com/calculator/tm67fzywd1

 

 

cool cool cool

 Dec 8, 2020

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