Q: Who requires more a circular diameter of 6 or a square with sides of 4.25?

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The sides of the Square.

The area of a square with side x is x2 SQUARE units. A circle with diameter 1 unit, has an area of pi/4 square units. Since the area of a square with side of 1 unit is 1 square unit, let us call the area of a circle of diameter 1 unit to 1 circular unit. That gives 1 circular unit = pi/4 square units. So a square with sides of x units = x2 units = pi*x2/4 or pi*(x/2)2 units.

The diagonal of the square is the diameter of the circle (think about it!) so the sides of the square can be pythagorassed ie the square of the diagonal is twice the square of a side. As an example, consider a circle of diameter 50 units. the square of this is 2500 so every side of the square is the square root of 1250 units which equals sqrt 625 x sqrt 2 or 25 root 2 ie 35.355339 units, or 70.71% of the diameter of the circle. More basically, the diagonal is the hypotenuse of a 45/45/90 triangle so the sides are in the ratio 1/1/root2 or if you want the hypotenuse to be 1, the sides would be (root 2)/2. Either way, the sides are root2 times the radius of the circle, which is of course half the diameter. This is in full agreement with the 25 root2 calculated above for a 50 unit diameter circle.

a trapezoid requires at least two parallel sides, so a square is a special case of trapezoid, but not all trapezoids are square.

The square part area is 4 x 4 = 16 sq ft The circular parts are equivalent to a circle with diameter 4 feet whose area is pi x diameter squared/4 = 3.14x16/4 = 12.56 sq ft Area = 16 +12.56 = 28.56 sq ft

Related questions

The sides of the Square.

The area of a square with side x is x2 SQUARE units. A circle with diameter 1 unit, has an area of pi/4 square units. Since the area of a square with side of 1 unit is 1 square unit, let us call the area of a circle of diameter 1 unit to 1 circular unit. That gives 1 circular unit = pi/4 square units. So a square with sides of x units = x2 units = pi*x2/4 or pi*(x/2)2 units.

They are not technically the same. A square is a rectangle but a rectangle is not a square. A rectangle requires opposite sides to be the same length. A square's opposite sides are the same length so it is a rectangle. A square requires all sides to be the same length, not just opposite sides. So most rectangles are not squares.

The square of the diameter of a circle is equal to four times the square of the radius of the circle. This relationship arises from the formula for the diameter of a circle, which is two times the radius, and squaring both sides of this equation.

pi*r2 = 28.26 Divide both sides by pi: r2 = 8.995437384 Square root both sides: radius = 2.999239468 diameter = 2*radius: diameter = 5.998478935 or 6 centimeters to the nearest cm.

A square with sides of 0.4985 units will fit in the circle.

pi*radius2 = 254 Divide both sides by pi and then square root both sides to find the radius: radius = 8.991702347 or about 9 inches diameter = 2*9 = 18 inches

The diagonal of the square is the diameter of the circle (think about it!) so the sides of the square can be pythagorassed ie the square of the diagonal is twice the square of a side. As an example, consider a circle of diameter 50 units. the square of this is 2500 so every side of the square is the square root of 1250 units which equals sqrt 625 x sqrt 2 or 25 root 2 ie 35.355339 units, or 70.71% of the diameter of the circle. More basically, the diagonal is the hypotenuse of a 45/45/90 triangle so the sides are in the ratio 1/1/root2 or if you want the hypotenuse to be 1, the sides would be (root 2)/2. Either way, the sides are root2 times the radius of the circle, which is of course half the diameter. This is in full agreement with the 25 root2 calculated above for a 50 unit diameter circle.

10 inches, assuming the pizza box is square. If the area is 100 in2, then each side must be 10 inches long. Since the pizza goes from the end of the box to the other side, it is also 10 inches in diameter.

a trapezoid requires at least two parallel sides, so a square is a special case of trapezoid, but not all trapezoids are square.

The square part area is 4 x 4 = 16 sq ft The circular parts are equivalent to a circle with diameter 4 feet whose area is pi x diameter squared/4 = 3.14x16/4 = 12.56 sq ft Area = 16 +12.56 = 28.56 sq ft

Assuming the circle is tangent to the sides of the square, then the edges of the circle meet the square at the midpoint on each of the four sides. So the diameter of the circle is the same as the length of a side of the square. So all you need to do is find the length from the total area by taking the square root of the area (since A = s2), which gives you the diameter, then halve it to get the radius.