SOLUTION: Two circles touch externally.The sum of their areas is 58pi cm^2 and the distance between their centres is 10cm.Find the radii of the two circles.
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Question 550145: Two circles touch externally.The sum of their areas is 58pi cm^2 and the distance between their centres is 10cm.Find the radii of the two circles. Answer by lwsshak3(11628) (Show Source):
You can put this solution on YOUR website! Two circles touch externally.The sum of their areas is 58pi cm^2 and the distance between their centres is 10cm.Find the radii of the two circles.
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let x=radius of one circle
10-x=radius of second circle
..
πx^2+π(10-x)^2=58π
πx^2+π(100-20x+x^2)=58π
divide by π
x^2+100-20x+x^2=58
2x^2-20x+42=0
divide by 2
x^2-10x+21=0
(x-7)(x-3)=0
x=7
or
x=3
..
ans:
The radii of the two circles: 3cm and 7cm
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