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avanturin [10]
3 years ago
14

8.4.49 A cow is tethered to one corner of a square​ barn, 19 feet by 19 ​feet, with a rope 160 feet long.​ (See the illustration

to the​ right.) What is the maximum grazing area for the​ cow?
Mathematics
1 answer:
SashulF [63]3 years ago
4 0

Answer:

20096 ft^2

Step-by-step explanation:

We are given that

Length of rope=l=160 feet

Radius of quadrant of circle=r=160 feet

We have to find the  maximum grazing area of the cow.

We know that

Area of quadrant of circle=\frac{1}{4}\pi r^2

Where \pi=3.14

Using the formula

Area grazed by cow=\frac{1}{4}\times 3.14(160)^2

Area grazed by cow=20096 ft^2

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