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
A 50
B 25
C 201
D 804
And how did you solve it?
To solve this problem, we need to find the area of the circle that the goat can reach with the 8-foot rope as the radius.
The formula for the area of a circle is A = πr^2, where r is the radius of the circle.
In this case, the radius is 8 feet. Plugging this into the formula, we get A = π(8)^2 = 64π.
Now, we can approximate the value of π as 3.14 and calculate the area: A ≈ 64 * 3.14 ≈ 200.96.
Rounded to the nearest whole square foot, the area of the yard available for the goat to eat grass is approximately 201 square feet.
Therefore, the correct answer is C) 201.