First find out the radius (it is simply half the diameter). Then use the formula area = pi x radius2.
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The area of a circle can be found using the formula A = πr^2, where r is the radius of the circle. Since the diameter is given as 8 feet, the radius would be half of the diameter, which is 4 feet. Plugging this into the formula, the area of the circle is approximately 50.27 square feet.
A circle that is 4 feet 6 inches in diameter has an area of: 15.904 square feet.
You don't mention whether the 4 feet is the circumference, diameter or radius. The area of a circle is pi times the radius squared. If 4 feet is the circumference, the area is about 1.3 feet squared. If 4 feet is the diameter, the area is about 12.6 feet squared. If 4 feet is the radius, the area is about 50.3 feet squared.
The 4' x 4' figure has an area of 4' x 4' = 16 square feet. The area of a circle is pi times the square of the radius. If a circle has an area of 16 square feet, then pi x r2 = 16 ft2. We'll take the 16, divide it by pi and the answer will be the square of the radius. And 16/pi = about 5.093 square feet and the square root of that is about 2.257 feet. The radius of a circle with an area of 16 ft2 is about 2.257 feet. The diameter of a circle is twice its radius, and in this case, 2.257 feet x 2 will have be the circle with a diameter = 4.514 feet.
The circumference of a circle with a diameter of 4 feet is about 12.57 feet. (C = d x Pi).It is 4 pi feet, or about 12.57 feet.