The area of the square is 18 cm2
The area of a square is:
area = side2
By Pythagoras:
side2 + side2 = diagonal2
⇒ 2 side2 = diagonal2
⇒ side2 = diagonal2 ÷ 2
⇒ area = diagonal2 ÷ 2
diagonal = 6cm, so:
area = (6 cm)2 ÷ 2
⇒ area = 18 cm2
The longest diagonal of a 6 cm cube is: 10.39 cm
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
24 square centimeters
The diagonal is 15.620 meters.
Since the lengths on both sides of the square are the same the side length will be 6cm.
It is 72 sq cm.
36 square cm
36 cm2
The diagonal length of a square with a 900 square foot area is: 42.43 feet.
The area of square is : 100.0
The square's diagonal is 11.314 cm
The area is 72 cm2
Area = 6*9 = 54 square cm
36 cm area of the square
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
The longest diagonal of a 6 cm cube is: 10.39 cm
Its diagonal is 1 unit.