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

This topic has expert replies
Moderator
Posts: 2249
Joined: Sun Oct 29, 2017 2:08 pm
Followed by:2 members

Timer

00:00

Your Answer

A

B

C

D

E

Global Stats

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

Legendary Member
Posts: 2231
Joined: Sun Oct 29, 2017 2:04 pm
Followed by:6 members
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