Question

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?

Answer 1

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=$20096 ft^2$