Final answer:
The approximate circular area of Tripp's play area, with a 6-foot leash as the radius, is 113.04 square feet when rounded to the nearest hundredth, using the formula A = πr² and 3.14 for pi.
Step-by-step explanation:
To calculate the approximate circular area of Tripp's play area, given the leash is 6 feet long, we will use the formula for the area of a circle, which is A = πr². Here, the length of the leash represents the radius (r) of the play area. Substituting the given value and using 3.14 for pi, we get:
A = πr² = 3.14 × (6 feet)²
We then calculate the area:
A = 3.14 × 36 feet² = 113.04 feet²
Rounded to the nearest hundredth, the area is approximately 113.04 square feet.