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The area of a circular region having a radius of 41 meter is [#permalink]
14 Jun 2018, 16:08

Expert's post

00:00

Question Stats:

74% (00:42) correct
25% (00:54) wrong based on 74 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.

Re: The area of a circular region having a radius of 41 meter is [#permalink]
15 Jun 2018, 05:58

1

This post received KUDOS

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.

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

1

This post received KUDOS

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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