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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 goar'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?
A 
50ft^(2)
B 
25ft^(2)
C 
201ft^(2)
D 
804ft^(2)
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Clever | Portal\newlineifleady log \log in\newlineCewer| Porta!\newlineProgress Learning\newlineapp.progresskearning.com/middeSchool/assignment/activity/NDY33Nje33MA==/QVNTRVNTUVOVA×33D3333D/Q22FubmVkVGVzdCOxMjk.\newlinecssga org bookmanks\newline(3434)\newline3535\newline(3636)\newline3737\newline3838\newline(3939)\newline(4040)\newline4141\newline(4242)\newline(4343) 44\newline4444\newline4545\newline4646\newline(44) 44\newline4848\newline4949\newline5050\newline44 of 5050\newlineNext\newline2222.0505\newlineFarmer's Fred's lawn mower is broken, so he put his goat in his front yard on a stake that pivots 360 360^{\circ} . The length of the rope from the stake to the goar's collar is 88 feet.\newlineIf 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?\newlineA 50ft2 50 \mathrm{ft}^{2} \newlineB 25ft2 25 \mathrm{ft}^{2} \newlineC 201ft2 201 \mathrm{ft}^{2} \newlineD 804ft2 804 \mathrm{ft}^{2} \newlineYrogress Learning 20242024, All Pights Reserved. Terms | Privacy PHONE 11877-877377-3779537-9537 | FAX 11877-877816-8160808-0808 Blog

Full solution

Q. Clever | Portal\newlineifleady log \log in\newlineCewer| Porta!\newlineProgress Learning\newlineapp.progresskearning.com/middeSchool/assignment/activity/NDY33Nje33MA==/QVNTRVNTUVOVA×33D3333D/Q22FubmVkVGVzdCOxMjk.\newlinecssga org bookmanks\newline(3434)\newline3535\newline(3636)\newline3737\newline3838\newline(3939)\newline(4040)\newline4141\newline(4242)\newline(4343) 44\newline4444\newline4545\newline4646\newline(44) 44\newline4848\newline4949\newline5050\newline44 of 5050\newlineNext\newline2222.0505\newlineFarmer's Fred's lawn mower is broken, so he put his goat in his front yard on a stake that pivots 360 360^{\circ} . The length of the rope from the stake to the goar's collar is 88 feet.\newlineIf 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?\newlineA 50ft2 50 \mathrm{ft}^{2} \newlineB 25ft2 25 \mathrm{ft}^{2} \newlineC 201ft2 201 \mathrm{ft}^{2} \newlineD 804ft2 804 \mathrm{ft}^{2} \newlineYrogress Learning 20242024, All Pights Reserved. Terms | Privacy PHONE 11877-877377-3779537-9537 | FAX 11877-877816-8160808-0808 Blog
  1. Circle Area Formula: The area of a circle is calculated using the formula A=πr2A = \pi r^2, where rr is the radius.
  2. Length of Rope: The length of the rope is 88 feet, which is the radius of the circular area.
  3. Substitute Radius: Substitute the radius into the area formula: A=π(8)2A = \pi(8)^2.
  4. Calculate Area: Calculate the area: A=π(64)A = \pi(64).
  5. Approximate Pi: Use the approximation π3.14\pi \approx 3.14 to calculate the area: A3.14×64A \approx 3.14 \times 64.
  6. Perform Multiplication: Perform the multiplication: A3.14×64200.96A \approx 3.14 \times 64 \approx 200.96.
  7. Round Area: Round the area to the nearest whole square foot: A201 ft2A \approx 201 \text{ ft}^2.

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