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GRE Prep Club Team Member
Joined: 20 Feb 2017
Posts: 2512
Given Kudos: 1060
GPA: 3.39
The circle above has center X and radius 10. If PB = 8 and QD = 6, wha
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10 Jan 2023, 01:24
10 Jan 2023, 01:24
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Expert Reply
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Question Stats:
66% (02:17) correct
33% (00:21) wrong based on 3 sessions
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The circle above has center X and radius 10. If PB = 8 and QD = 6, what is the length of QR ?
A. 1
B. 2
C. 3
D. 4
E. 5
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GRE Prep Club Team Member
Joined: 20 Feb 2017
Posts: 2512
Given Kudos: 1060
GPA: 3.39
Re: The circle above has center X and radius 10. If PB = 8 and QD = 6, wha
[#permalink]
12 Jan 2023, 21:53
12 Jan 2023, 21:53
Expert Reply
(Draw a line from X to D = XD. Which will be radius)
In triangle XQD
XQ^2= XD^2-QD^2
XQ^2= 10^2-6^2
XQ^2= 100-36
XQ^2=64
XQ= 8
Since XR is also Radius.
XR = XQ+ QR
10= 8+QR
2= QR
Answer: B
In triangle XQD
XQ^2= XD^2-QD^2
XQ^2= 10^2-6^2
XQ^2= 100-36
XQ^2=64
XQ= 8
Since XR is also Radius.
XR = XQ+ QR
10= 8+QR
2= QR
Answer: B
gmatclubot
Re: The circle above has center X and radius 10. If PB = 8 and QD = 6, wha [#permalink]
12 Jan 2023, 21:53
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