Latest Accenture Aptitude Question SOLUTION: Two circles touch each other externally. The distance between their centres is 14 cm and the sum of their areas is 130 cm2. Find their radii.

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Two circles touch each other externally. The distance between their centres is 14 cm and the sum of their areas is 130 cm2. Find their radii.

Asked In Accenture Shilpi Shandilya (9 years ago)

Unsolved Read Solution (9)

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Read Solution (9) :

Krishna Mahato  (9 years ago)

sum of area = 130pi
let radius of circles are x,14-x.
so, pi*x^2+pi*(!4-x)^2=130pi
x^2-14x+33=0
(x-3)(x-11)=0
by solving this we wil get x=3,11
so their radii are 3,11.

Is this solution Helpfull? Yes (8) | No (1)  

Rajaneesh Anand  (9 years ago)

let the radius of 1st circle be xcm.
and the radius of 2nd one is (14-x)cm.
so,
(pi*x*x)+(pi*(14-x)*(14-x))=130
from here we can find the value of x.

Is this solution Helpfull? Yes (4) | No (1)  

Enakshee  (9 years ago)

@ krishna mahato how u are solving by taking the area as 130pi wen d area is 130 cm^2

Is this solution Helpfull? Yes (3) | No   

Sarabeshwar  (9 years ago)

Question wrong....

two circles touch externally the sum of their areas is 130pi cm2 and the distance between their centres is 14cm find the sum of their radii

Is this solution Helpfull? Yes (1) | No (3)  

Aastutee sahu  (9 years ago)

let d radius of 1 circle = x
other one = 14-x
now apply the formula and put the value get the ans

Is this solution Helpfull? Yes (1) | No   

sandeep kumar pandey  (9 years ago)

radius of each circle is 7 cm. as both of the circles touches each other externally so the distance of their centres will act sa diameter and thus radii will be 7 cm.

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Mani Shankar  (9 years ago)

wrong question
as R^2 + r^2 = 130/pi = (130/22)*7 = 41.37 ...................i
and R + r = 14...................................................................ii
how i and ii are possible while
1^2 + 11^2 = 122
2^2 + 10^2 = 104
___________________
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7^2 + 7^2 = 96

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harinadh  (9 years ago)

let it go.. :p

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snehal  (8 years ago)

ans: 7.664 cm and 6.336 cm

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