A = 18 square units.
The side of the square is 6. The diagonal of the square is 6 sqrt(2).The diagonal of the square is also the diameter of the circle.The circumference of the circle = pi times the diameter = 6 pi sqrt(2) = 26.657 (rounded)
The diagonal = the square root of (6 squared + 8 squared) 6 squared+8squared = 100 the square root of 100 = 10 so the length of the diagonal is 10. The above used Pythagoras' theorem which says the square on the diagonal is equal to the sum of the squares on the other two sides.
A = 48 units2
To calculate the diagonal, use the Pythagorean Theorem.6^2 + 6^2 = x^236 + 36 = x^272 = x^2sqrt72 = xx = 8.485.....
The diagonal length of a square can be calculated using the formula ( d = s\sqrt{2} ), where ( s ) is the length of a side. For a 6x6 square, the diagonal length would be ( 6\sqrt{2} ), which is approximately 8.49 units.
The diagonal of a square whose area is 36 is the square root of 72, or about 8.49. Since the area of a square is side(squared), then the sides are each 6. Then since a(squared) + b(squared) = c(squared), for a triangle (the diagonal), you get the square root of 72.
Using Pythagoras: diagonal² = side² + side² = 2 × side² → side² = diagonal² ÷ 2 area = side² = diagonal² ÷ 2 → diagonal² = 2 × area → diagonal = √(2 × area) = √(2 × 36) = 6√2 ≈ 8.49
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 radius of a square is the radius of the circumcircle, ie the distance from the centre of the square to any vertex, which is half the length of the diagonal of the square. Using Pythagoras: diagonal^2 = side^2 + side^2 → diagonal = √(2 x side^2) area = side^2 → diagonal = √(2 x area) radius = 1/2 x diagonal = 1/2 x √(2 x area) → radius = 1/2 x √(2 x 72 sq in) = 1/2 x √(144 sq in) = 1/2 x 12 in = 6 in.
First, take the square root, to get the length of a side. Then (because of Pythagoras), multiply the length of the side by the square root of 2.First, take the square root, to get the length of a side. Then (because of Pythagoras), multiply the length of the side by the square root of 2.First, take the square root, to get the length of a side. Then (because of Pythagoras), multiply the length of the side by the square root of 2.First, take the square root, to get the length of a side. Then (because of Pythagoras), multiply the length of the side by the square root of 2.
You can use trigonometry to find the solution. A diagonal divides a square into two triangles, known as "45-45-90" triangles (because of the measures of each angle). According to a law of the same name, the hypotenuse (side opposite of the 90o angle) has a length equal to the length of a leg (side opposite of a 45o angle) times the square root of two. So, since the hypotenuse is a diagonal, you will find that the length of each side of the square is 6 divided by the square root of 2. Find the square of this, and you have the total area: 18 square yards.
The side of the square is 6. The diagonal of the square is 6 sqrt(2).The diagonal of the square is also the diameter of the circle.The circumference of the circle = pi times the diameter = 6 pi sqrt(2) = 26.657 (rounded)
12 * root 2
About 8.5 feet.
The statement is false.
The moment of inertia of a square plate about its diagonal is ((1/6))ma^2, where (m) is the mass of the plate and (a) is the length of the side of the square.
The diagonal = the square root of (6 squared + 8 squared) 6 squared+8squared = 100 the square root of 100 = 10 so the length of the diagonal is 10. The above used Pythagoras' theorem which says the square on the diagonal is equal to the sum of the squares on the other two sides.