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#### Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here. # In the xy-plane, a circle is centered at the point (-4,3) a  Question banks Downloads My Bookmarks Reviews Important topics
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In the xy-plane, a circle is centered at the point (-4,3) a [#permalink]
Expert's post 00:00

Question Stats: 94% (00:17) correct 5% (01:30) wrong based on 17 sessions
In the xy-plane, a circle is centered at the point (-4,3) and passes through the origin. What is the area of the circle?

A. 9π
B. 12π
C. 16π
D. 20π
E. 25π

kudo for the right solution and explanation
[Reveal] Spoiler: OA

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GRE Prep Club Members of the Month: Each member of the month will get three months free access of GRE Prep Club tests. Manager Joined: 25 Nov 2017
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Re: In the xy-plane, a circle is centered at the point (-4,3) a [#permalink]
1
KUDOS
We can calculate the distrance from the point to the origin
Squroo (0 - (-4) + (0-3)
Squroot 4^2 + 3^2
Squroot 16 + 9
Squroot 25
Or 5 distance is 5
So the radius muss be 5 since it says that the origine lied on the circle.
Aera of circle is r^2*pi
So we have 25*pi so answer is E VP Joined: 20 Apr 2016
Posts: 1302
WE: Engineering (Energy and Utilities)
Followers: 22

Kudos [?]: 1310  , given: 251

Re: In the xy-plane, a circle is centered at the point (-4,3) a [#permalink]
1
KUDOS
Popo wrote:
We can calculate the distrance from the point to the origin
Squroo (0 - (-4) + (0-3)
Squroot 4^2 + 3^2
Squroot 16 + 9
Squroot 25
Or 5 distance is 5
So the radius muss be 5 since it says that the origine lied on the circle.
Aera of circle is r^2*pi
So we have 25*pi so answer is E

Hi could you plz read before posting. Always check the spelling and mathematical expression-
https://greprepclub.com/forum/rules-for ... -1083.html
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GRE Prep Club Members of the Month:TOP 10 members of the month with highest kudos receive access to 3 months GRE Prep Club tests VP Joined: 20 Apr 2016
Posts: 1302
WE: Engineering (Energy and Utilities)
Followers: 22

Kudos [?]: 1310  , given: 251

Re: In the xy-plane, a circle is centered at the point (-4,3) a [#permalink]
1
KUDOS
Carcass wrote:
In the xy-plane, a circle is centered at the point (-4,3) and passes through the origin. What is the area of the circle?

A. 9π
B. 12π
C. 16π
D. 20π
E. 25π

kudo for the right solution and explanation

Here,

Since the co-ordinates for the centre of the circle = (-4,3)

and it passes through the orgin i.e co ordinates are =(0,0)

NOw the distance from (-4,3) to point (0,0) will give the radius of the circle

Distance between two points (x1,y1) and (x2,y2) in the xy plane = $$\sqrt{{(x2 - x1)^2 + (y2 - y1)^2}}$$

Therefore the distance between (-4,3) and (0,0) = $$\sqrt{{(0 - (-4))^2 + (0 - 3)^2}}$$

=$$\sqrt{25}$$ = 5

SInce Area of the circle = $$\pi * (radius)^2$$

= $$\pi * 5^2$$
=$$25\pi$$ i. e option E
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GRE Prep Club Members of the Month:TOP 10 members of the month with highest kudos receive access to 3 months GRE Prep Club tests Target Test Prep Representative Affiliations: Target Test Prep
Joined: 09 May 2016
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Location: United States
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Re: In the xy-plane, a circle is centered at the point (-4,3) a [#permalink]
1
KUDOS
Expert's post
Carcass wrote:
In the xy-plane, a circle is centered at the point (-4,3) and passes through the origin. What is the area of the circle?

A. 9π
B. 12π
C. 16π
D. 20π
E. 25π

Since the circle is centered at the point (-4,3) and passes through the origin, we see that the radius is the hypotenuse of a triangle, with sides of 3 and 4, so we have a 3-4-5 right triangle with a hypotenuse of 5, which means the radius of the circle is also 5.

Thus, the area of the circle is π(5^2) = 25π,

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# Jeffrey Miller

Jeff@TargetTestPrep.com

See why Target Test Prep is the top rated GRE quant course on GRE Prep Club. Read Our Reviews Re: In the xy-plane, a circle is centered at the point (-4,3) a   [#permalink] 16 May 2018, 09:21
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