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A cow is tethered to the corner of a shed. If the length of

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A cow is tethered to the corner of a shed. If the length of [#permalink] New post 12 Nov 2017, 01:23
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A cow is tethered to the corner of a shed. If the length of the rope is 5, and the shed has length 4 and width 3, what is the maximum area that is accessible to the cow? (The cow cannot go inside the shed).

A. \(12\pi\)

B. \(15\pi\)

C. \(16\pi\)

D. \(18\pi\)

E. \(20\pi\)

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Re: A cow is tethered to the corner of a shed. If the length of [#permalink] New post 12 Nov 2017, 13:33
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Answer is 20pi.
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Re: A cow is tethered to the corner of a shed. If the length of [#permalink] New post 03 Dec 2017, 07:39
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Hello,

please feel free to correct me if I am wrong here.

So the cow can move inside a circle with radius 5. This gives us an Area of 25pi.

However the area of the shed must be excluded. So we must substract 12 (3*4) from 25pi = 75.53 - 12 = 66.5

Since we need the answer in PI, divide by 3,14 which gives us 21.18, Hence answer is E
Re: A cow is tethered to the corner of a shed. If the length of   [#permalink] 03 Dec 2017, 07:39
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A cow is tethered to the corner of a shed. If the length of

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