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.)
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.