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The area of a circular region having a radius of 41 meter is

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The area of a circular region having a radius of 41 meter is [#permalink] New post 14 Jun 2018, 16:08
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80% (00:57) correct 19% (01:02) wrong based on 21 sessions
The area of a circular region having a radius of \(\frac{1}{4}\) meter is x square meters.

Quantity A
Quantity B
\(x\)
\(\frac{1}{4}\)


A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
[Reveal] Spoiler: OA

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Re: The area of a circular region having a radius of 41 meter is [#permalink] New post 15 Jun 2018, 05:58
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Carcass wrote:
The area of a circular region having a radius of \(\frac{1}{4}\) meter is x square meters.

Quantity A
Quantity B
\(x\)
\(\frac{1}{4}\)


A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.


=>pi * \((0.25)^2\) = x.

pi = 3.14, then x = 0.19

col A = 0.19 and B = 0.25

B is greater than A.

B.
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Re: The area of a circular region having a radius of 41 meter is [#permalink] New post 17 Jun 2018, 07:37
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Expert's post
Carcass wrote:
The area of a circular region having a radius of \(\frac{1}{4}\) meter is x square meters.

Quantity A
Quantity B
\(x\)
\(\frac{1}{4}\)


A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.


Area of circle = π(radius)²

So, if the radius is 1/4, then area = π(1/4)²
= π(1/16)
= π/16

In other words, x = π/16

So, we get:
Quantity A: π/16
Quantity B: 1/4

If we're not sure what to do here, a quick approach is to use matching operations

Multiply both quantities by 16 to get:
Quantity A: π
Quantity B: 4

Since π ≈ 3.14, we can see that Quantity B is greater.

Answer: B

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Re: The area of a circular region having a radius of 41 meter is   [#permalink] 17 Jun 2018, 07:37
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