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What shape encloses the largest area?

The circle has the largest area of any two-dimensional object having the same perimeter. A cyclic polygon (one inscribed in a circle) has the largest area of any polygon with a given number of sides of the same lengths.

Why does the circle have the greatest area?

That means that this shape has the largest volume for a given surface area. Of course, the shape is a sphere, not an egg, and the same thing happens in two dimensions: a circle with a given perimeter will never have less area than an ellipse with the same perimeter. So a circle has more area than an ellipse.

What shape has the most area with the least perimeter?

The rectangle with the greatest area and the smallest perimeter is the square. Each side of the square is 2√30.

Is a square bigger than a circle?

the circle is the same size as a square. however u can fit a bigger right angle triangle in a square. The circle and the square have to be the same size for you to fit a bigger triangle in a square.

Which has more perimeter square or circle?

The perimeter of the square is 4p. The perimeter of the circle is 3.54p. Therefore the square has the larger perimeter when compared to a circle of the same area.

What size circle fits in a square with sides of 12 inches?

Answer Expert Verified You would subtract the area of the circle(113.1) from the are of the square(144) to get the answer of 30.9 and if you round that to the nearest whole number, you get 40. the answer is actually 31 since that is the nearest whole number.

What size square fits in a 12 foot circle?

Area of a 12 Foot Circle

113.10 square feet
0.0025964 acres
10.507 square meters
105,071 square centimeters
0.0010507 hectares

What is the side length of the largest square that can fit into a circle with a radius of 5 units?

Answer: 7.07 units.

How do you know if a square fits in a circle?

When a square is circumscribed by a circle , the diagonal of the square is equal to the diameter of the circle.

Can a circle fit in a square?

When a circle is inscribed in a square , the diameter of the circle is equal to the side length of the square. You can find the perimeter and area of the square, when at least one measure of the circle or the square is given.

What is the area of the square inscribed in a circle that has a radius of 2?

Since the radius is r, the circle’s diameter = diagonal of square = 2r. Thus, area of the square = (2r/√2)^2 = 4r^2/2= 2r^2.

What will be the ratio of the area of square to the area of circle inscribed in it?

So the area of the circle is πr2=10×2π. So the ratio of the area of the circle to the area of the square is 10×2π:36×2, which is equivalent to 5π:18, as required.

What is the area of a square inscribed in a circle?

We know the area of the square with side a cm is given by a2 cm2. Thus, the area of the square inscribed in a circle of radius x cm is 2×2 cm2. Note: Diameter of the circle is equal to double of the radius of the circle. Diagonal of a square inscribed in a circle is equal to the diameter of the circle.

What does a square inside a circle mean?

Mathematics and Geometry According to mathematicians, “squaring the circle” means to construct for a given circle a square with the same area as the circle. If the circle has area A, then a square with side [square root of] A clearly has the same area.

What is the area of a square inscribed in a circle with radius 10?

200 sq