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In the figure above, if PR is a line segment, what is the sum of the

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In the figure above, if PR is a line segment, what is the sum of the [#permalink]

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Tough and Tricky questions: Geometry.



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In the figure above, if PR is a line segment, what is the sum of the lengths of the curved paths from P to Q and from Q to R ?

(1) XQ = QY = 5 centimeters.
(2) Every point on arc PQ is 5 centimeters from point X, and every point on arc QR is 5 centimeters from point Y.

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Re: In the figure above, if PR is a line segment, what is the sum of the [#permalink]

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New post 17 Dec 2014, 08:27
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1. We dont know the lenght of arc by simply knowing some part of length of segemtn. Insufficent.

2. x and y become centers for those arc since every point on respective arc is equidistant from both the points

so r=5 ; the length of arc = half circle= (2 *pie*r)/2 [perimeter of cirlce]=pie*r=pie*5
Sufficeint'

Ans B
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Re: In the figure above, if PR is a line segment, what is the sum of the [#permalink]

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New post 23 Dec 2014, 02:00
Given is a figure that looks like two semi circles of equal areas with center X and center Y respectively. However we cannot assume any of this as we are not told this in the question.

S(1): XQ=QY=5. This would have been sufficient if we were given X and Y are the center of the circles. If they were centers then XQ and Qy were radius of the circle and we could have calculated the length of the arc. However as we do not know if they are centers they could be any arbitrary points. Hence not sufficient.

S(2): The meaning of the statement is that X and Y are the centres of the 2 semi circles each with radius of 5. We can calculate length of arc by 2 Pie Radius.

Answer is B.

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Re: In the figure above, if PR is a line segment, what is the sum of the [#permalink]

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New post 27 Sep 2017, 00:56
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Re: In the figure above, if PR is a line segment, what is the sum of the   [#permalink] 27 Sep 2017, 00:56
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