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# A circle is depicted in the rectangular coordinate system as shown. Th

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A circle is depicted in the rectangular coordinate system as shown. Th  [#permalink]

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Updated on: 05 Jul 2019, 06:44
00:00

Difficulty:

15% (low)

Question Stats:

68% (00:49) correct 33% (00:52) wrong based on 80 sessions

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A circle is depicted in the rectangular coordinate system as shown. The value of x is

(A) 4
(B) 6
(C) 8
(D) 10
(E) 12

Attachment:

2017-06-21_1253.png [ 13.27 KiB | Viewed 1748 times ]

Source: Nova GMAT
Difficulty Level: 600

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Originally posted by Bunuel on 21 Jun 2017, 01:55.
Last edited by SajjadAhmad on 05 Jul 2019, 06:44, edited 2 times in total.
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Re: A circle is depicted in the rectangular coordinate system as shown. Th  [#permalink]

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21 Jun 2017, 02:14
1
The radius to this circle is 4, as the circle passes through line x=4 and x=-4.
The origin of this circle must be (6,0) because the circle with radius 4 will definitely pass through (2,0)
On the other side of the x-axis, the circle passes through (10,0)
Hence the value of x is 10(Option D)
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Re: A circle is depicted in the rectangular coordinate system as shown. Th  [#permalink]

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21 Jun 2017, 02:32
1
Since the Diameter of the circle is 8

Distance between (2,0) & (x,0) should be 8 (Line cuts the circle into two equal parts)
(x-2) = 8

x=10
Hence D
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Re: A circle is depicted in the rectangular coordinate system as shown. Th  [#permalink]

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22 Jun 2017, 03:00
Bunuel wrote:

A circle is depicted in the rectangular coordinate system as shown. The value of x is

(A) 4
(B) 6
(C) 8
(D) 10
(E) 12

Attachment:
2017-06-21_1253.png

From the figure, if we move along the y - axis, we find that the radius of the circle is 4

Now moving along the x - axis with radius = 4,
The centre is (2+4,0) = (6,0)
and the coordinate of the point where x - axis cuts circle on other side is (10,0)

So x = 10

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Re: A circle is depicted in the rectangular coordinate system as shown. Th  [#permalink]

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24 Jun 2017, 08:38
Bunuel wrote:

A circle is depicted in the rectangular coordinate system as shown. The value of x is

(A) 4
(B) 6
(C) 8
(D) 10
(E) 12

Looking at the y-axis, we see that the diameter of the circle is 4 - (-4) = 8.

Looking at the x-axis, we see that the left edge of the circle’s diameter is at x = 2. The line must extend to the right 8 more units to yield a diameter of 8, and so the value of x will be 10 at the rightmost edge of the circle.

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Re: A circle is depicted in the rectangular coordinate system as shown. Th  [#permalink]

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24 Jun 2017, 09:36
imo D
so 2+8=10
the coordinate will be 10
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Re: A circle is depicted in the rectangular coordinate system as shown. Th  [#permalink]

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10 Jul 2017, 05:49
Radius is 4. Diameter is 4*2=8.
Thus x coordinate would be 2+8=10.

Option D.

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Re: A circle is depicted in the rectangular coordinate system as shown. Th  [#permalink]

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25 Nov 2019, 15:45
Bunuel wrote:

A circle is depicted in the rectangular coordinate system as shown. The value of x is

(A) 4
(B) 6
(C) 8
(D) 10
(E) 12

Attachment:
2017-06-21_1253.png

Source: Nova GMAT
Difficulty Level: 600

The radius is of 4 units. (look at the y-axis to find this out)

We are at (2,0) so the center is (6,0). Move one radius furhter away from it then it will be (10,0)

Hence D.
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Re: A circle is depicted in the rectangular coordinate system as shown. Th  [#permalink]

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25 Nov 2019, 19:57

Solution

Approach and Working out

• 2 and x are the ends of the diameter.
o Diameter of the circle is 8 units as shown in the diagram.
• Hence, x-2 is also 8
o Thus, x = 10
Thus, option D is the correct answer.
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Re: A circle is depicted in the rectangular coordinate system as shown. Th   [#permalink] 25 Nov 2019, 19:57
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