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.
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)
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 area of square is : 36.0
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 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.
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.
About 8.5 feet.
8.48, 6 squared+6 squared= c squared
First you want to find the lengths of the square. The formula for area is b × h, but because it's a square (and the base is the same as the height), the area can be expressed as b2. So if b2 = 36, then √36 = b. Therefore, b = 6.If you draw the diagonal in the square and make a triangle, you can use the two sides you do know to figure out the third side of the triangle using the Pythagorean theorem.62 + 62 = c272 = c2√72 = cc ≈ 8.49
Area = 6*6 = 36 square inches
The diagonal across a square is one of three legs in a triangle. To determine the length of a leg in a triangle a formula was developed by the ancient Greek mathematician Pythagoras. The "Pythagorean Theorum" [A sq + B sq = C sq]using the two known legs to a triangle [A and B] to determine the third. since the leg [C]. Since we are determining the diagonal across a square we already that [A=6 meters] and [B=6 meters]. So therefore the equation 6 squared [36] + 6 squared [36] = 8.484 squared [72]. So the answer to the diagonal distance across a 6 meter square is; 8.484 meters
A square with a side length of 6 inches has an area of 36 square inches.
Square Area = a2 a = length of side === === * The area of a square can be found by multiplying the base times itself. This is similar to the area of a rectangle but the base is the same length as the height. * If a square has a base of length 6 inches its area is 6*6=36 square inches
3ftx3ft square