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

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.