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07 Dec 2021, 08:45
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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:
25%
(medium)
Question Stats:
78% (01:32) correct
22%
(02:27)
wrong
based on 18
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Four horses are tethered at 4 corners of a square field of side 70 meters so that they can just about reach one another. Find the area (in square meter) left ungrazed by the four horses.
A. 3850
B. 1075
C. 1050
D. 1200
E. 950
Are You Up For the Challenge: 700 Level Questions
A. 3850
B. 1075
C. 1050
D. 1200
E. 950
Are You Up For the Challenge: 700 Level Questions
07 Dec 2021, 09:03
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Bunuel
Since the four horses are tied to the vertices of the square filed they effectively graze out a circle ( 4 x quarter circles ) from the square. The radius of all these circles would be 70/2 = 35 meters as we are told that the horses can just about reach one another.
Hence area un-grazed = 70^2 - π x 35^2
= 4900 - 3850 = 1050
Option C
07 Dec 2021, 11:57
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The way this problem reads suggests they each can meet ALL of the others, which can only happen at the center, suggesting a radius of 35root2, producing overlapping quarter circles that is more complicated to handle
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