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11 Mar 2015, 04:48
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D
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
55%
(hard)
Question Stats:
64% (02:27) correct
36%
(02:37)
wrong
based on 256
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(1) ST:PQ = 5/2
(2) RT:PR = 13/7
Kudos for a correct solution.
11 Mar 2015, 07:08
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the answer is D
from statment 1 we have that ST:PQ = 5x/2x
PT is the diameter of large circle and ST=PS =Radius of large circle
PQ+QR+RS=ST
2x+QR+RS=5x
QR+RS=3x we know that QR=RS=Radius of small circle
QR=RS=3x/2
so the area of large circle = pir^2=pi(5x)= pi 25x^2
the area of small circle=pi(3x/2)^2=9x^2/4
so the ratio of the area of the larger circle to the area of the smaller circle=25x^2*4/9x^2=100/9.
statment 2:we have that RT:PR = 13x/7x
RT+PR=20x=diameter of large circle
so ST=10x=raduies of large circle
PS=ST=10x
PS-PR=RS (raduies of small circle)
10x-7x=3x
so the ratio of the area of the larger circle to the area of the smaller circle pi(10x)^2/pi(3x)^2=100/9
from statment 1 we have that ST:PQ = 5x/2x
PT is the diameter of large circle and ST=PS =Radius of large circle
PQ+QR+RS=ST
2x+QR+RS=5x
QR+RS=3x we know that QR=RS=Radius of small circle
QR=RS=3x/2
so the area of large circle = pir^2=pi(5x)= pi 25x^2
the area of small circle=pi(3x/2)^2=9x^2/4
so the ratio of the area of the larger circle to the area of the smaller circle=25x^2*4/9x^2=100/9.
statment 2:we have that RT:PR = 13x/7x
RT+PR=20x=diameter of large circle
so ST=10x=raduies of large circle
PS=ST=10x
PS-PR=RS (raduies of small circle)
10x-7x=3x
so the ratio of the area of the larger circle to the area of the smaller circle pi(10x)^2/pi(3x)^2=100/9
11 Mar 2015, 07:13
Kudos
Bookmarks
Answer should be D.
To find the ratio of area of two circles, we need ratio of their radii.
Statement 1 and 2 both are Sufficient to get the ratio of the radii.
To find the ratio of area of two circles, we need ratio of their radii.
Statement 1 and 2 both are Sufficient to get the ratio of the radii.
