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If the number of square units in the area of a circle is A and the nu

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If the number of square units in the area of a circle is A and the nu  [#permalink]

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New post 15 Feb 2018, 23:37
00:00
A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

81% (01:42) correct 19% (01:49) wrong based on 48 sessions

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Re: If the number of square units in the area of a circle is A and the nu  [#permalink]

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New post 16 Feb 2018, 00:02
Bunuel wrote:
If the number of square units in the area of a circle is A and the number of linear units in the circumference is C, what is the radius of the circle?

(1) A/C = 3/2

(2) A > C + 3


Let 'r' be the radius of a circle. Then its area, A = π*r^2 and its Circumference C = 2*π*r.

Statement 1

Ratio of A:C = A/C = (π*r^2)/(2*π*r) = r/2
This is given to us as 3/2. Equating r/2 = 3/2 or r=3. Sufficient.

Statement 2

A > C + 3
π*r^2 > 2*π*r + 3 or π*r(r-2) > 3
This will not help us in calculating r. Not sufficient.

Hence A answer
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Re: If the number of square units in the area of a circle is A and the nu  [#permalink]

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New post 16 Feb 2018, 00:05
Bunuel wrote:
If the number of square units in the area of a circle is A and the number of linear units in the circumference is C, what is the radius of the circle?

(1) A/C = 3/2

(2) A > C + 3



Area of a circle = pi r^2
Circumference = 2pi r

Statement 1: Given A/C = 3/2

pi r^2/ 2pi r = 3/2

r/2=3/2
r= 3

Statement 2 A>C + 3

pi r^2 - 2 pi r > 3

pi ( r^2 - 2r) > 3

r can take multiple values as pi itself is greater than 3

insufficient

(A) imo
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Re: If the number of square units in the area of a circle is A and the nu  [#permalink]

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New post 07 Aug 2019, 21:14
Bunuel wrote:
If the number of square units in the area of a circle is A and the number of linear units in the circumference is C, what is the radius of the circle?

(1) A/C = 3/2

(2) A > C + 3



Given,

A > C + 3

If we start substituting values for r, we get that after r=3, the equation holds good. Thus we arrive at an unique value of r =3. Hence Option D should be the answer right?
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Re: If the number of square units in the area of a circle is A and the nu   [#permalink] 07 Aug 2019, 21:14
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