Question

A property owner is planning to install a circular pond and wants to know how much space the pond will take up. If the property owner is planning on the pond being 26 feet in diameter, what will be the area of the pond in square feet?(Area of a Circle = π x [Diameter of the Circle / 2]2)

Answer 1

The area of a circular pond with a diameter of 26 feet is approximately 530.929 square feet, calculated using the formula A = πr², where the radius (13 feet) is half the diameter.

Step-by-step explanation:

To determine the area of a circular pond that is 26 feet in diameter, we first find the radius which is half of the diameter. Thus, the radius (r) is 13 feet. Using the formula for the area of a circle, A = πr², we can calculate the area.

Area = π * (13 feet)²

Area = π * 169 square feet

Area = 3.1415927 * 169 square feet

Area = 530.929 square feet (rounded to three decimal places)

Therefore, the circular pond will take up approximately 530.929 square feet of space. Remember that when dealing with significant figures, the area should be rounded according to the precision allowed by the provided measurements.