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The area of square is : 100.0

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Jay O'Connell

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Q: What is the area of a square if the diagonal is 10 inches?
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What is the approximate length of the diagonal of a square that has a perimeter of 28 inches?

Approximately 10 inches.


The area of a square garden is 50m how long is the diagonal?

The garden's diagonal is 10 meters.


What is the area of a square with a diagonal of 10 cm?

Area = 50 cm2


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.


What is the area of the square with side length equal to 10 inches?

A square with a side length of 10 inches has an area of 100 square 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 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


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 find the area of a square that is 10 inches by 10 inches?

The area of a square is found by multiplying two of the equal sides together. A square has four equal sides and the four angles the sides make together are always equal to 90 degrees each. So, a square that is 10 inches by 10 inches has an area of 10 inches x 10 inches=100 square inches.


What is area of square whose diagonal is 10?

If diagonal is 10 then each side is sqrt 50 (Pythagoras) and area is sqrt 50 x sqrt 50 ie 50


How long is a diagonal of a square with sides of length 10 in?

Each of them is 14.14 inches long. (rounded)


A circle has a radius of 26 inches what is the area in square inches?

A circle with a radius of 26 inches has an area of: 2,124 square inches.