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How do you find the area of a square given only the length of its diagonal?
Wiki User
∙ 13y ago
Given the length of the diagonal of the square ... call it 'D units'.
The area of the square is (1/2 D2) (same units)2.
Wiki User
∙ 13y ago
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What is the diagonal of 11 square inches?
As no shape has been given for the area it is impossible to given the length of the diagonal - the diagonal can be ANY length greater than 0 (assuming you can define what diagonal means for the shape). If you are referring to a square with an area of 11 square inches then: Using Pythagoras: diagonal² = side² + side² = 2 × side² → side² = diagonal² ÷ 2 area = side² = diagonal² ÷ 2 → diagonal² = 2 × area → diagonal = √(2 × area) = √(2 × 11 sq in) = √22 in ≈ 4.69 in If you mean an 11 inch square, ie a square with 11 inches along each side: Use Pythagoras: Diagonal² = √(2 × sidelength²) → diagonal = side_length × √2 → diagonal = 11 in × √2 ≈ 15.6 in
Length of a diagonal square with area of 81?
The length of a square with an area of 81 would be 9.
What is the length of the diagonal of a square whose area is 64 cm2?
The square's diagonal is 11.314 cm
How do you find the side length of a square when the area is already given?
The area of a square is given as the square of a side. So simply take the square root of the area for a side.
How do you find the length and width of a square if given the area?
i think you find the square root of the area. that's the length and the width, so you multiply it.
How do you find the length of each side of a square?
If you are given the area of the square, then the length of each side is the square root of the area. If you are given the length of the diagonal of a square, then the lenght of each side is equal to the length of the diagonal divided by the square root of 2. l=sqrt(a) l=d/[sqrt(2)] l=length of side, d=diagonal, a=area, sqrt means square root
What is the diagonal length of a square with a 900sq ft area?
The diagonal length of a square with a 900 square foot area is: 42.43 feet.
What is the diagonal of 11 square inches?
As no shape has been given for the area it is impossible to given the length of the diagonal - the diagonal can be ANY length greater than 0 (assuming you can define what diagonal means for the shape). If you are referring to a square with an area of 11 square inches then: Using Pythagoras: diagonal² = side² + side² = 2 × side² → side² = diagonal² ÷ 2 area = side² = diagonal² ÷ 2 → diagonal² = 2 × area → diagonal = √(2 × area) = √(2 × 11 sq in) = √22 in ≈ 4.69 in If you mean an 11 inch square, ie a square with 11 inches along each side: Use Pythagoras: Diagonal² = √(2 × sidelength²) → diagonal = side_length × √2 → diagonal = 11 in × √2 ≈ 15.6 in
Length of a diagonal square with area of 81?
The length of a square with an area of 81 would be 9.
How do you find area of square if diagonal is given?
Using Pythagoras' theorem which says that the square on the hypotenuse (in this case the diagonal) is equal to the sum of the squares on the other two sides (which in the case of a square would be equal in length). so if the diagonal measured 10 units, the square on the diagonal would be 100 square units. And as this = 2*the squares on the other sides, the square on one side would be 100/2 = 50 square units. As a square has sides of equal length the square on one side is actually the area of the square. i.e. the area of a square with a diagonal of 10 units is 50 square units. or generically the area of a square with a diagonal of length 'x' = (x2)/2
What is the length of the diagonal of a square whose area is 64 cm2?
The square's diagonal is 11.314 cm
What is the length of the diagonal of a square if its area is ninety eight inches squared?
The diagonal is 14 inches.
The area of a square is 100 The length of its diagonal is approximately?
If the area of a square is 100, then its side length is 10. If we draw in a diagonal, then we know by the Pythagorean formula that the diagonal's length is sqrt(10^2 + 10^2) = sqrt(200) = 10*sqrt(2).The square root of 2 is approximately 1.414, so the diagonal's length is approximately 10*1.414 =14.14* The diagonal of any square is the side length times (sq rt 2).
How many 18x18 tiles to cover diagonal 211 sq ft?
A diagonal would be measured in feet, not square feet. Given the length of a diagonal, it is not possible to determine the shape of the area to be covered. Without information about the shape, its area cannot be calculated.
What is the area of a square with the diagnole length of 12 and the square root of 2?
If, by diagnole, you meant diagonal, and that its length was 12√2 units, then the area is 144 square unit.
The width of a rectangle is 10 meters and its area is 120 square meters What is the length of the diagonal?
The diagonal is 15.620 meters.
How do you calculate the diagonal of the square?
You multiply the length of a side by the square root of 2.If you only have the area, square root it to find the length of a side.
