Can anyone solve this? The answer makes no sense to me...Thanks!
If circle A has 3 times the area of circle B, and circle B has one-sixth of the area of square WXYZ, what is the ratio of the area of a circle inscribed within WXYZ to that of the area of circle A?
A- PI/ 12
B- PI/6
C- PI/2
D- 2/PI
E- 12PI
question from Princeton Online Practice test
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charmingirl8 wrote:Can anyone solve this? The answer makes no sense to me...Thanks!
If circle A has 3 times the area of circle B, and circle B has one-sixth of the area of square WXYZ, what is the ratio of the area of a circle inscribed within WXYZ to that of the area of circle A?
A- PI/ 12
B- PI/6
C- PI/2
D- 2/PI
Answer is C
Take some time to understand wat i wrote....couldnt put it in more simpler words........i hope this explanation will help u understand the ques
Soln
Area of Circle A = Pi sq(R)
Area of Circle B = Pi sq(r)
Area Of Square = sq (a) [let ‘a’ is side of square ]
Area Of Circle inscribed in Square = Pi sq (a/2)
As
circle B has one-sixth of the area of square WXYZ
Pi sq(r) = 1/6 sq (a)
sq (a)= 6 Pi sq (r)
ATQ
ratio of the area of a circle inscribed within WXYZ to that of the area of circle A = [Pi * 6 Pi sq (r)] / 4* Pi sq(R)
As circle A has 3 times the area of circle B
So ratio = Pi /2
As Pi sq(R) = 3 * Pi sq(r)
E- 12PI
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Let circle B have area = xcharmingirl8 wrote:Can anyone solve this? The answer makes no sense to me...Thanks!
If circle A has 3 times the area of circle B, and circle B has one-sixth of the area of square WXYZ, what is the ratio of the area of a circle inscribed within WXYZ to that of the area of circle A?
A- PI/ 12
B- PI/6
C- PI/2
D- 2/PI
E- 12PI
Circle A area = 3x
Square WXYZ area = 6x
So (Square WXYZ)/(Circle A) = 6x/3x = 2/1
Area of circle inscribed inside square = Pi/4(area of square)
So if (Square WXYZ)/(Circle A) = 2/1
(Area of circle inscribed inside squareWXYZ)/(Circle A) = Pi/4 * 2/1 = Pi/2
Answer is C
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