Question

A dog is leashed to point in the center of a large yard, so the area the dog is able to explore is circular. The leash is 20 feet long. What is the area of the region of dog able to explore? Round to the neartest tenth

Answer 1

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 = $\pi (radius)^2$

$\dfrac{22}{7}(20)^2=\dfrac{22}{7}\times400\\\\=1257.14285714\approx1257.1\text{ ft}^2$

Hence, the area of the region of dog able to explore is about 1257 square feet.

Answer 2

The dog may be able to explore over 1256.6