Question

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.)

Answer 1

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

Answer 2

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.