Farmer's Fred's lawn mower is broken, so he put his goat in his front yard on a stake that pivots 360°. The length of the rope from the stake to the goat's collar is 8 feet.
If the stake is the center of the circular area of yard available for the goat to eat grass, what is the area of the yard available for the goat to eat grass, to the nearest whole square foot?
Responses
The area of the yard available for the goat to eat grass can be calculated using the formula for the area of a circle, which is A = πr^2, where r is the radius of the circle. In this case, the radius is 8 feet.
Therefore, the area of the yard available for the goat to eat grass is:
A = π(8)^2
A = π(64)
A = 64π
To find the approximate value of the area in square feet, we can use the approximation π ≈ 3.14
A ≈ 64 x 3.14
A ≈ 200.96
Therefore, the area of the yard available for the goat to eat grass is approximately 201 square feet.