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The area of a circular region is 5π

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Carcass

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Joined: 18 Apr 2015

Posts: 18323

GRE 1: Q160 V160

The area of a circular region is 5π [#permalink]

17 Dec 2017, 12:49

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The area of a circular region is $5\pi$

Quantity A	Quantity B
The diameter of the circular region	$\sqrt{20}$

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

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Popo

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Joined: 25 Nov 2017

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Re: The area of a circular region is 5π [#permalink]

18 Dec 2017, 01:51

The Area is as follows 5pi
The formula is r^2pi = 5pi
We can divide both sides by pi which leaves us r^2 = 5 so r= root of 5.
The diameter is twice the radii.
2(root of 5) which gives us 4,47 OR Squroot5*4
QB = same quantity
So the two quantities are equal

Fatemeh

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Joined: 22 Feb 2018

Posts: 163

Re: The area of a circular region is 5π [#permalink]

15 Mar 2018, 16:39

correct: C
area = \pi * r^2
5\pi = \pi * r^2
r = radical(5)
diemeter = 2r = 2 * radical(5)

B: radical(20) = 2 * radical(5)
So A and B are equal.
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Director

Joined: 09 Nov 2018

Posts: 505

Re: The area of a circular region is 5π [#permalink]

19 Jan 2019, 17:40

πr^2 = 5π
r = √5
dia= 2√5
= √4*5
=√20

gmatclubot

[#permalink]

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