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02 May 2020, 05:22
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C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
95%
(hard)
Question Stats:
43% (02:25) correct
58%
(03:13)
wrong
based on 40
sessions
History
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Not Attempted Yet
In a circle chords AB and CD are perpendicular to each other and intersect at point P. If AP = 4, PB = 6, and CP = 3, what is the radius of the circle?
A. \(\sqrt{26}\)
B. \(\sqrt{30}\)
C. \(\sqrt{31.25}\)
D. \(\sqrt{37.5}\)
E. \(\sqrt{52}\)
Are You Up For the Challenge: 700 Level Questions
A. \(\sqrt{26}\)
B. \(\sqrt{30}\)
C. \(\sqrt{31.25}\)
D. \(\sqrt{37.5}\)
E. \(\sqrt{52}\)
Are You Up For the Challenge: 700 Level Questions
02 May 2020, 06:13
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Bunuel
It's quite difficult problem to solve.
here is the step by step solution and the screenshot as well for reference
Answer: Option C
Attachments
Screenshot 2020-05-02 at 6.38.21 PM.png [ 1.02 MiB | Viewed 6353 times ]
02 May 2020, 15:19
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AP = 4; PB=6 and CP=3
AP*PB = CP*DP
4*6 = 3*DP
DP = 8
Suppose radius = r
\(4r^2 = AP^2+PB^2+CP^2+DP^2\)
\(4r^2 = 4^2+6^2+3^2+8^2 = 125\)
\(r^2 = 31.25\)
\(r= \sqrt{31.25}\)
AP*PB = CP*DP
4*6 = 3*DP
DP = 8
Suppose radius = r
\(4r^2 = AP^2+PB^2+CP^2+DP^2\)
\(4r^2 = 4^2+6^2+3^2+8^2 = 125\)
\(r^2 = 31.25\)
\(r= \sqrt{31.25}\)
Bunuel
