Mekhi wants to cover the top of a circular pond to keep leaves out of the pond. If the diameter of the pond is 12 feet what is the the cover that covers the surface of the pond)?

Answer 1

To find the area of the cover that Mekhi needs to use, we will first calculate the radius of the pond and then use the area formula for a circle.

1. Find the radius: The diameter of the pond is given as 12 feet. The radius (r) is half of the diameter: \[ r = \frac{\text{diameter}}{2} = \frac{12 \text{ feet}}{2} = 6 \text{ feet} \]

2. Calculate the area of the circular surface: The area (A) of a circle can be calculated using the formula: \[ A = \pi r^2 \] Substituting the value of the radius: \[ A = \pi (6 \text{ feet})^2 = \pi \times 36 \text{ square feet} \] \[ A \approx 3.14 \times 36 \text{ square feet} \approx 113.04 \text{ square feet} \]

Thus, the area that needs to be covered to keep leaves out of the pond is approximately 113.04 square feet.