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02 Jun 2020, 05:19
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A
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
35%
(medium)
Question Stats:
70% (01:28) correct
30%
(02:19)
wrong
based on 23
sessions
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Little Johnny wants to eat a candy (circular in shape) using chopsticks! For this he makes sure that one end of either chopstick is touching the other (held in his hand) and the other end is used to hold the candy, as shown in the figure below. If his mom wants him to maintain a distance of at least 10 cm between his hands and his mouth while eating, what is the minimum length (in cm) of chopsticks required by him to eat the candy using chopsticks? (Assume that both the chopsticks are of equal length and that the radius of the candy is 6 cm.)
A. 8
B. 9
C. 10
D. 11
E. 12
Attachment:
1.png [ 18.79 KiB | Viewed 1220 times ]
Shrinkhla21
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02 Jun 2020, 05:51
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The answer is A.
The tangent subtends an angle of 90 degrees on the radius of the circle.
The next step is to use the pythagorus theorem.
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The tangent subtends an angle of 90 degrees on the radius of the circle.
The next step is to use the pythagorus theorem.
Posted from my mobile device
02 Jun 2020, 06:53
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Bunuel
Solution
- • We need to find the length of the chopstick i.e. PT.
• To have minimum length of the PT, it should just be exactly equal to the length of the tangent to the circle.
• As PT is tangent to the circle, triangle OTP is a right-angled triangle, right angled at T.
- o Thus, \(PT = \sqrt{10^2 – 6^2} = 8\)
