The problem asks to find the area of a circle with a diameter of 3.5 feet.

GeometryAreaCircleDiameterRadiusPi
2025/3/24

1. Problem Description

The problem asks to find the area of a circle with a diameter of 3.5 feet.

2. Solution Steps

First, we need to find the radius of the circle. The radius is half of the diameter.
r=d2r = \frac{d}{2}
r=3.52=1.75r = \frac{3.5}{2} = 1.75 feet.
The area of a circle is given by the formula:
A=πr2A = \pi r^2
Substituting the value of rr, we get
A=π(1.75)2A = \pi (1.75)^2
A=π(3.0625)A = \pi (3.0625)
Using the value of π3.14159\pi \approx 3.14159, we have
A3.14159×3.0625A \approx 3.14159 \times 3.0625
A9.6211271875A \approx 9.6211271875
Rounding to two decimal places, we have
A9.62A \approx 9.62 square feet.

3. Final Answer

The area of the circle is approximately 9.62 square feet.

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