Square s3

Calculate the diagonal of the square, where its area is 0.49 cm square. And also calculate its circumference.

Correct answer:

u =  0.9899 cm
o =  2.8 cm

Step-by-step explanation:

$$\begin{gathered} S=0.49 \\ a=\sqrt{S}=\sqrt{0.49}={\displaystyle \frac{7}{10}}=0.7 \\ u=\sqrt{2}\cdot a=\sqrt{2}\cdot 0.7=0.9899\text{ cm} \end{gathered}$$

$o=4\cdot a=4\cdot 0.7=2.8\text{ cm}$

Try another example

Related math problems and questions:

• Circle
  How big is an area of a circle if its circumference is 51.2 cm?
• Shape
  Plane shape has a maximum area 677 mm². Calculate its perimeter if perimeter is the smallest possible.
• Perimeter of square
  The square has a circumference 17cm. What is its area?
• Triangle eq
  Calculate accurate to hundredths cm height of an equilateral triangle with a side length 12 cm. Calculate also its perimeter and content area.
• Four circles
  1) Calculate the circle radius if its area is 400 cm square 2) Calculate the radius of the circle whose circumference is 400 cm. 3) Calculate circle circumference if its area is 400 cm square 4) Calculate the circle's area if perimeter 400 cm.
• Rectangular trapezium
  Calculate the perimeter of a rectangular trapezium when its content area is 576 cm² and sice a (base) is 30 cm, height 24 cm.
• Diagonal of square
  Calculate the side of a square when its diagonal is 10 cm.
• Triangles
  Equilateral triangle with side 40 cm has the same perimeter as an isosceles triangle with arm of 45 cm. Calculate the base x of an isosceles triangle.
• Area to perimeter
  Calculate circle circumference if its area is 254.34cm²
• Second side
  Calculate the length of the other side of the rectangle if its circumference is 60 cm and one side is 10 cm long.
• Quarter of a circle
  Calculate the circumference of a quarter circle if its content is S = 314 cm².
• Radius
  Find the radius of the circle with area S = 200 cm².
• Rectangle 45
  The perimeter of a rectangle is 60cm. If the length of the rectangle is 20cm. a)find the width b)find the area.
• Perimeter from area
  What is the perimeter of the square if its content is 64 cm²?
• Right isosceles
  Calculate area of the isosceles right triangle which perimeter is 26 cm.
• Square diagonal
  Calculate the length of the square diagonal if the perimeter is 172 cm.
• Rhombus
  Find the length of the other diagonal and area of the rhombus. The perimeter of a rhombus is 40 cm and one of the diagonals is of length 10 cm.