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What is the ratio of the square's area to the circle's area if the square and circle have equal perimeter?
The square has perimeter Ps equal to 4L (where L is the side length of the square) and L equal to √(As) (where A is the area and subscript 's' indicates we are talking about the area of the square). From this we can rearrange to 4√(As). The circle has perimeter Pc equal to π(2R) (where R is the radius of the circle) and R equal to √(Ac/ π) (where subscript 'c' indicates we are talking now talking about the area of the circle) or, the square root of the circle's area divided by pi. From this we can rearrange to 2π√(Ac/ π). Since we know the perimeters are equal, Ps = Pc; we can then put the right sides together to get 4√(As) = 2π√(Ac/ π). Through rearranging of this equation, we can reduce to 4As = πAc. As a ratio, this comes down to As:Ac à π:4.
What else can I help you with?
What are the similarities of a circle and a square?
Both squares and circles are shapes. Also they are both two dimensional figures.
The area of a square is 36 squares feet What is perimeter?
The perimeter is 24 feet.
What is the perimeter of a square if it has an area of 36 centimetre squares?
Your square must have sides of 6cm so perimeter is 24cm.
How many square feet in a 84 feet perimeter?
Perimeter of which geometry (square, circle, rectangle, triangle, ...)
What is called the length of the sides of a square and a circle?
Do you mean perimeter?The sum of the lengths of the four sides of a square is the perimeterThe total length of the circumference of a circle is its perimeter
Is the circumference of a square linear?
A square can't have a circumference. That's only for circles squares have area, volume, or perimeter.
How do you find the area of a circle inside a square?
all you do is find the area of the circle... if you mean find the squares area, find the area of the circle, and then the square's area and subtract the squares area to the circles area
What was the size of squares with concentric circles?
The size of squares with concentric circles typically refers to the dimensions of the square that contains the circles. Each circle is inscribed within the square, with its diameter equal to the length of the square's side. As more circles are added, each concentric circle has a progressively smaller diameter, centered within the square. The specific size of the square can vary based on the design or purpose of the arrangement.
What are the similarities of a circle and a square?
Both squares and circles are shapes. Also they are both two dimensional figures.
How much is perimeter?
The perimeter is the measure of length of the boundary of a 2-dimensional object. The most common mathematical objects in this category are squares, rectangles, circles and triangles. The perimeter of a square = 4d (where d is the length of 1 side) The perimeter of a rectangle = 2l + 2w (where l is the length and w is the width) The perimeter of a circle = 2πr (where π is the mathematical constant pi and r is the radius. The perimeter of a circle is better known as the circumference) The perimeter of a triangle is the total length of all three sides.
In a pedigree if a mother is represented by a shaded circle and a father is representeed by a shaded square their children can be represented by either shaded or unshaded circles or squares?
A shade circle ontop of a shaded square. ES
What is the perimeter of a square of a 100 centimeter squares?
The perimeter would be 40cm.
What is the perimeter of a square if it has an area of 900 centimeter squares?
The perimeter of a 900 square centimeter square is 120 centimeters.
If a mother represented by a shaded circle and a father is represented by a shaded square their children cannot be represented by half shaded circles or squares?
False
The area of a square is 36 squares feet What is perimeter?
The perimeter is 24 feet.
What is the perimeter of a square if it has an area of 36 centimetre squares?
Your square must have sides of 6cm so perimeter is 24cm.
What is the perimeter of a square if it has an area of 4 centimetre squares?
Your square must have sides of 2cm so perimeter is 8cm.
