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24 Aug 2018, 02:46
Kudos
Bookmarks
B
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
15%
(low)
Question Stats:
91% (01:08) correct
9%
(01:21)
wrong
based on 53
sessions
History
Date
Time
Result
Not Attempted Yet
What is the radius of the circle shown above with center O, if CB is a line segment of length 8 that is tangent to the circle and the distance between C and the center of the circle is 10?
A. 4
B. 6
C. \(4\sqrt{3}\)
D. 8
E. \(2\sqrt{41}\)
Attachment:
image033.jpg [ 2.29 KiB | Viewed 2576 times ]
Bunuel
CO = 10
CB= 8
BO =?
Applying the Pythagorean Theorem :
\(CO^2 = CB^2 + BO^2\)
\(10^2 = 8^2 + BO^2\)
\(100 - 64 = BO^2\)
\(BO^2 = 36\)
BO = 6.
The best answer is B.
24 Aug 2018, 03:16
Kudos
Bookmarks
Hi,
For geometry questions, try to draw the figure and label the information, properties associated with the figure, you will get the answers quickly.
Here they have given a circle and shown tangents whose length is 8. Also given distance between C and centre is 10.
Remember: Tangent and radius are perpendicular to each other.
We can use the right triangle pythogorean rule and get the value of the radius.
Look at the below diagram for better understanding.
Or else, know the common pythogorean triplets 3-4-5, 6-8-10 and 5-12-13. Very popular in aptitude exams.
So here is the radius of the circle is 6.
So the answer is B.
For geometry questions, try to draw the figure and label the information, properties associated with the figure, you will get the answers quickly.
Here they have given a circle and shown tangents whose length is 8. Also given distance between C and centre is 10.
Remember: Tangent and radius are perpendicular to each other.
We can use the right triangle pythogorean rule and get the value of the radius.
Look at the below diagram for better understanding.
Or else, know the common pythogorean triplets 3-4-5, 6-8-10 and 5-12-13. Very popular in aptitude exams.
So here is the radius of the circle is 6.
So the answer is B.
Attachments
GTC - 24-08-18.png [ 12.01 KiB | Viewed 2335 times ]
