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A circle passes through the point (12,0), and is tangent to the y-axis at the point (0,2). Find the radius of the circle.

 Jul 4, 2022
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If  the circle is tangent to the y axis at (0,2)  the center must be (c , 2)  where c is the radius

 

Using the squares of the  distance formula

 

(c- 0)^2  +  ( 2 - 2)^2  = (12 - c)^2 + (2 - 0)^2

 

c^2 =  c^2 - 24c  + 144 + 4

 

24c =  148

 

c = 148/24 =  37/6  =  the radius

 

cool cool cool

 Jul 4, 2022

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