Answer: The area of the region of dog able to explore is about 1257 square feet.
Step-by-step explanation:
Given : A dog is leashed to point in the center of a large yard, so the area the dog is able to explore is circular.
i.e. Length of leash = Radius of the circular region of dog able to explore.
The length of leash = 20 feet
i.e. Radius = 20 feet
Formula : Area of circle = [tex]\pi (radius)^2[/tex]
[tex]\dfrac{22}{7}(20)^2=\dfrac{22}{7}\times400\\\\=1257.14285714\approx1257.1\text{ ft}^2[/tex]
Hence, the area of the region of dog able to explore is about 1257 square feet.
