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24 Mar 2020, 07:05
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If two circles overlap each other, what is the area of that overlap?
(1) The edge of each circle intersects the center of the other circle.
(2) The sum of the circumferences of the two circles is 12π.
(1) The edge of each circle intersects the center of the other circle.
(2) The sum of the circumferences of the two circles is 12π.
Updated on: 24 Mar 2020, 09:28
Originally posted by preetamsaha on 24 Mar 2020, 08:00.
Last edited by preetamsaha on 24 Mar 2020, 09:28, edited 1 time in total.
Last edited by preetamsaha on 24 Mar 2020, 09:28, edited 1 time in total.
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ST 1 : both circles are of same radius and same size.
i.e. r1 = r2
but we don't know the values of r1 OR r2.
so ST 1 is insufficient.
ST 2: 2π(r1 + r2) = 12π
i.e. (r1+r2) = 6
but we don't know the values of r1 OR r2
so ST 2 is insufficient.
now , combining ST 1 & 2
we get r1= 3 ; r2 =3
so we can get the required area [ which is (1/3).π.3^2 +(1/3).π.3^2 - 2. (√3/4) .3^2 ]
so correct answer is C
i.e. r1 = r2
but we don't know the values of r1 OR r2.
so ST 1 is insufficient.
ST 2: 2π(r1 + r2) = 12π
i.e. (r1+r2) = 6
but we don't know the values of r1 OR r2
so ST 2 is insufficient.
now , combining ST 1 & 2
we get r1= 3 ; r2 =3
so we can get the required area [ which is (1/3).π.3^2 +(1/3).π.3^2 - 2. (√3/4) .3^2 ]
so correct answer is C
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overlapping circle.jpg [ 1010.54 KiB | Viewed 3965 times ]
ShankSouljaBoi
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24 Mar 2020, 08:59
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preetamsaha
ST 1 : both circles are of same radius and same size.
i.e. r1 = r2
but we don't know the values of r1 OR r2.
so ST 1 is insufficient.
ST 2: 2π(r1 + r2) = 12π
i.e. (r1+r2) = 6
but we don't know the values of r1 OR r2
so ST 2 is insufficient.
now , combining ST 1 & 2
we get r1= 3 ; r2 =3
so we can get the required area [ which is (1/3).π.3^2 +(1/3).π.3^2 - 2. (√3/4) .3^2 ]
so correct answer is C
How did you arrive at this formula ? the formula should have 1/6 *pi * (3)^2 and not 1/3 *pi * (3)^2 i.e. r1 = r2
but we don't know the values of r1 OR r2.
so ST 1 is insufficient.
ST 2: 2π(r1 + r2) = 12π
i.e. (r1+r2) = 6
but we don't know the values of r1 OR r2
so ST 2 is insufficient.
now , combining ST 1 & 2
we get r1= 3 ; r2 =3
so we can get the required area [ which is (1/3).π.3^2 +(1/3).π.3^2 - 2. (√3/4) .3^2 ]
so correct answer is C
