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Four horses are tethered at 4 corners of a square field of side 70 ft so that they just cannot reach one another. The area left ungrazed by the horses is:

A. 1050 sq.ft
B. 3850 sq. ft
C. 950 sq. ft
D. 1075 sq.ft
E. 1200 sq. ft


 Submitted Answers
Student: 2/22/2010 11:39:49 AM
Answer - A (1050 Sq ft.)
Student: 3/28/2010 7:55:52 AM
Can someone please explain this problem? Don't get it.
Student: 7/7/2010 12:49:32 PM
dont get it either
Student: 9/24/2010 4:00:30 PM
the four horses are each tied to 4 when they will move , they will make an arc (sector) so they will only be able to graze withion that arc or sector and this area will have to be subtracted from the total area and the remainder is the answer (area left ungrazed)

area of sq= 4900
area of 1 sector = pi(35)*90/360
area of 4 sector = 4*pi(35)*90/360 = 3850
4900- 3850 =1050
Student: 7/9/2011 8:44:26 AM
Student: 9/5/2011 5:57:53 AM
I get that they want to have an arc sweep, but the question is rather problematic since we don't know that the radius of rotation for each horse is equidistant. We also don't know the radius for the horses even if they are equidistant. If the horses each get one foot of length, the answer is dramatically different than if they had 20 feet.

The correct answer is A.

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