Two circles touch Each Other externally sum of the areas of the circle is 135 CM square and distance between their centres is 14 centimetres and the radii of the circles
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π(r1)²+π(r2)²=135. (1)
r1+r2=14
r1=14-r2
put this value in equation (1)
π(14-r2)²+π(r2)²=135
196+(r2)²-2*14*r2+(r2)²=135/π
2(r2)²-28r2+196=43
2(r2)²-28r2+153=0
D<0
no value of r2
therefore only one circle r1 = 14 cm exist
r1+r2=14
r1=14-r2
put this value in equation (1)
π(14-r2)²+π(r2)²=135
196+(r2)²-2*14*r2+(r2)²=135/π
2(r2)²-28r2+196=43
2(r2)²-28r2+153=0
D<0
no value of r2
therefore only one circle r1 = 14 cm exist
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