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The distances between any two centers of the three coplanar circles that are externally tangent to each other are 20, 24, and 28 cm. Find the area of the smallest circle.

 

 May 7, 2020
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Let the radii be x  y  and z

z+y = 20      

x+y= 28

x+ z = 24

 

multiply first equation by -1 and add to second equation to get

x- z = 8    add to third equation to get

2x= 32    x = 16     then y = 12   and z = 8

smallest radius = 8     area of circle = pi r^2     where r = 8       area =...........

 May 7, 2020

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