Verified Answer :

radius = 4 yards
Area = PI radius^2
Area = 3.14
16
Area = 50.24 square yards
 

Answer:

50.24 square yards does the dog have access to.

Step-by-step 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 = \(\frac{1}{9}\) sqaure yard

then;

452.16 square feet = \(\frac{452.16}{9}\) = 50.24 square yards.

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