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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?

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Re: The circle above has center X and radius 10. If PB=8 and QD=6, what is the length of QR?

by swerve » Sat Mar 27, 2021 6:58 am
AAPL wrote: ↑
Fri Mar 26, 2021 9:35 am
 GMAT Prep

1.png

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

OA B
We join \(XD\), which becomes Radius.
\(XD = 10.\)
\(QD = 6\) ( Given ).
Using Pythagorean triplets, \(QX = 8.\)
\(RX = 10\) ( Radius ).
\(QR = RX - QX.\)
\(QR = 10 - 8 = 2 \Longrightarrow\)B
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