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If O is the center of the circle above, what fraction of the [#permalink]
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11 Sep 2012, 04:33
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Re: If O is the center of the circle above, what fraction of the [#permalink]
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Re: If O is the center of the circle above, what fraction of the [#permalink]
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11 Sep 2012, 09:56
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Bunuel wrote: Attachment: Circle.png If O is the center of the circle above, what fraction of the circular region is shaded? (A) 1/12 (B) 1/9 (C) 1/6 (D) 1/4 (E) 1/3 Total angle in a circle = 360 degree One of Nonshaded angle = 150 degree Other Nonshaded angle = 150 degree (?) because it is opposite angle Total Nonshaded angle = 150 + 150 = 300 degree So, shaded angle = 360  300 = 60 degree Shaded angle 60  =  = 1/6 Total angle 360 Hence, C
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Re: If O is the center of the circle above, what fraction of the [#permalink]
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I would say (C), but it seems such an easy answer. Anyways, here is the explanation: 3602*150=60 60 degrees is the total of shaded regions, so 60/360 = 1/6. So, please correct me if I went awry. p.s. where is trick here? those shaded regions opposite to each other do not have equal angles?
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Re: If O is the center of the circle above, what fraction of the [#permalink]
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12 Sep 2012, 04:37
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Bunuel wrote: Attachment: Circle.png If O is the center of the circle above, what fraction of the circular region is shaded? (A) 1/12 (B) 1/9 (C) 1/6 (D) 1/4 (E) 1/3 Since both Lines pass through centers they are alternate angles. Hence shaded degree measure is 360 (150x2)=60 So fraction of circle shaded = 60/360 = 1/6. Hence Answer Choice C.
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Re: If O is the center of the circle above, what fraction of the [#permalink]
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12 Sep 2012, 12:57
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Fraction of Shaded region = Angle made at the center by shaded region/ Angle at center of a circle = (360150*2)/360 = 60/360 = 1/6 Answer C
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Re: If O is the center of the circle above, what fraction of the [#permalink]
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14 Sep 2012, 05:28



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Re: If O is the center of the circle above, what fraction of the [#permalink]
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15 Sep 2012, 08:35
Part of circle not shaded=150+150=300. So, shaded part is 360300=60. Required fraction is :60/360=1/6
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Re: If O is the center of the circle above, what fraction of the [#permalink]
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10 Sep 2014, 03:54
Bunuel wrote: Attachment: Circle.png If O is the center of the circle above, what fraction of the circular region is shaded? (A) 1/12 (B) 1/9 (C) 1/6 (D) 1/4 (E) 1/3 Practice Questions Question: 36 Page: 157 Difficulty: 550 not shaded is 150+150 =300. so shaded has to be 360300= 60.. 60/360 = 1/6.



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Re: If O is the center of the circle above, what fraction of the [#permalink]
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10 May 2016, 18:13
Attached is a visual that should help.
Attachments
Screen Shot 20160510 at 5.50.02 PM.png [ 67.54 KiB  Viewed 6675 times ]
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Re: If O is the center of the circle above, what fraction of the [#permalink]
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25 May 2016, 09:38
Bunuel wrote: Attachment: Circle.png If O is the center of the circle above, what fraction of the circular region is shaded? (A) 1/12 (B) 1/9 (C) 1/6 (D) 1/4 (E) 1/3 In solving this problem there are three angle rules that we must consider. 1) A circle measures a total of 360 degrees. 2) A straight angle measures 180 degrees. 3) Vertical angles, angles that are directly opposite one another, are always equal. To solve, we can draw out a quick diagram of just the angles: Based on the angles we created, we know two important pieces of information: 1) angle A and 150 degrees sum to 180 degrees because they form a straight angle. Thus, angle A = 30 degrees. 2) angle A = angle B because they are vertical angles. Thus angle B = 30 degrees. With this information we see that the shaded region represents 60 out of 360 degrees of the circle, or 60/360 = 1/6. The answer is C.
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Re: If O is the center of the circle above, what fraction of the [#permalink]
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08 Feb 2017, 22:23
Bunuel wrote: Attachment: Circle.png If O is the center of the circle above, what fraction of the circular region is shaded? (A) 1/12 (B) 1/9 (C) 1/6 (D) 1/4 (E) 1/3 Practice Questions Question: 36 Page: 157 Difficulty: 550 Given: The angle opposite the 150 degree angle has the same measure. Call x = each of of the shaded regions 2(150) + 2x = 360 300 + 2x = 360 2x = 60 x = 30 Sum of the angles of the shaded regions = 60 degrees 60/360 = 1/6 Answer choice
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Re: If O is the center of the circle above, what fraction of the [#permalink]
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08 Feb 2017, 22:57
Non shaded angle = 300 degree.
Shaded angle = 360300 = 60 degree. Fraction = 60/360 = 1/6.
Answer C




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