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What is the length of a diagonal of a square with side 10 inches?
Wiki User
∙ 12y ago
Pythagoras' theorem shows the side you are looking for, the hypotenuse of the right angles triangle is the root of the sum of the other two sides, so it is root(10 squared+ 10 squared)= root(200)=10*root2 or 14.1421356 inches
Wiki User
∙ 12y ago
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How do you find the side of a square if you know its diagonal?
Divide the length of the diagonal of a square by 1.4142 (which is the square root of 2) to find the length of a side. Similarly, to find the length of the diagonal of a square, multiply the length of a side by 1.4142.
If the diagonal measurement of a square is 250 inches then what is the length of the sides?
If the side of the square is s inches, then the diagonal is s*sqrt(2) So s*sqrt(2) = 250 s = 250/sqrt(2) = 176.78 inches.
What is the area of a square with a circle of a radius of 5 inches?
If the circle is inscribed in the square, the side length of the square is the same as the diameter of the circle which is twice its radius: → area_square = (2 × 5 in)² = 10² sq in = 100 sq in If the circle circumscribes the square, the diagonal of the square is the same as the diameter of the circle; Using Pythagoras the length of the side of the square can be calculated: → diagonal = 2 × 5 in = 10 in → side² + side² = diagonal² → 2 × side² = diagonal² → side² = diagonal² / 2 → side = diagonal / √2 → side = 10 in / √2 → area _square = (10 in / √2)² = 100 sq in / 2 = 50 sq in.
The diagonals of a square are what?
Length of diagonal = Square root ( (side length 2) * 2 )
What is the length of a diagonal of a square with a side length of 8?
8*sqrt(2) The diagonal of the square would be the hypotenuse of the right triangle formed by two of the sides of the square.
What is the length of the diagonal of a square with a side length of 5 in?
The diagonal length = 7.07 inches.
A square has a diagonal which is 30 inches how long in inches is its side?
A square with a 30-inch diagonal measurement has sides of 21.21 inches in length.
The length of a diagonal of a square is 12 inches Find the length of one side of the square?
Each side is sqrt 72 ie 8.49 in
How do you find the side of a square if you know its diagonal?
Divide the length of the diagonal of a square by 1.4142 (which is the square root of 2) to find the length of a side. Similarly, to find the length of the diagonal of a square, multiply the length of a side by 1.4142.
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
How is the length of a diagonal of a square found?
As a square has right angles, the diagonal forms a right triangle with two of the sides of the square. Therefore use Pythagoras: diagonal² = side² + side² → diagonal² = 2side² → diagonal = side × √2 Therefore to find the length of the diagonal of a square, multiply the side length of a square by the square root of 2.
What is the side length of a square with a diagonal of 16?
The side lengths of a square with a diagonal of 16 is: 11.31.
What is the length of one side of a square with a 16-centimeter diagonal?
The length of one side of a square with a 16-centimeter diagonal is: 11.31 cm
If the diagonal measurement of a square is 250 inches then what is the length of the sides?
If the side of the square is s inches, then the diagonal is s*sqrt(2) So s*sqrt(2) = 250 s = 250/sqrt(2) = 176.78 inches.
What is the length of the diagonal square that has an area of 400 square inches using the Pythagorean theorem?
Each side of the square is 20 inches and by using Pythagoras' theorem its diagonal is 20 times the square root of 2 which is about 28.284 inches rounded to 3 decimal places.
What is the area of a square with a circle of a radius of 5 inches?
If the circle is inscribed in the square, the side length of the square is the same as the diameter of the circle which is twice its radius: → area_square = (2 × 5 in)² = 10² sq in = 100 sq in If the circle circumscribes the square, the diagonal of the square is the same as the diameter of the circle; Using Pythagoras the length of the side of the square can be calculated: → diagonal = 2 × 5 in = 10 in → side² + side² = diagonal² → 2 × side² = diagonal² → side² = diagonal² / 2 → side = diagonal / √2 → side = 10 in / √2 → area _square = (10 in / √2)² = 100 sq in / 2 = 50 sq in.
How to calculate diagonal of square?
If the length of a side of the square is S units then the diagonal is S*sqrt(2) units in length.
