Wyatt's dog is tethered to a post in his yard. if the rope tied to the dog is 12 feet long, how many square yards does the dog have access to? (use 3.14 for π.)

Question

asked Oct 11, 2018 134k views

2 Answers

Rizwan Sattar · Answer 1 · 2018-10-17T07:47:01+0000

Answer:

50.24 square yards does the dog have access to.

Explanation:

Area of a circle(A) is given by:

$A = \pi r^2$ .....[1]

where

r is radius of the circle

As per the statement:

Wyatt's dog is tethered to a post in his yard. if the rope tied to the dog is 12 feet long

⇒radius(r) = 12 feet long

use 3.14 for π

Substitute these in [1] we get;

$A = 3.14 \cdot (12)^2$

⇒
$A=3.14 \cdot 144 = 452.16 ft^2$

Use conversion:

1 square feet =
(1)/(9) sqaure yard

then;

452.16 square feet =
(452.16)/(9) = 50.24 square yards.

Therefore, 50.24 square yards does the dog have access to.