Exercise 1

Calculate the area and perimeter of a square with a side of 5 cm.

Exercise 2

A square garden with a side length of 150 m has a square swimming pool in the very center with a side length of 25 m. Calculate the area of the garden.

Exercise 3

Find the length of the diagonal of a square with a side of 5 cm.

Exercise 4

Determine the area of the square inscribed in a circle with a circumference of 18.84 cm.

Exercise 5

A square with a side of 2 m has a circle inscribed in it and in turn this circle has a square inscribed in it. If this square also has a circle inscribed in it, what is the area between the last square and the last circle.

Exercise 6

Calculate the area enclosed by the inscribed and circumscribed circles to a square with a diagonal of 8 m in length.

Exercise 7

Calculate the shaded area, knowing that the side of the outer square is 6 cm and the radius of the circle is 3 cm.

Solution of exercise 1

Calculate the area and perimeter of a square with a side of 5 cm.

P = 4 · 5 = 20 cm

A = 5² = 25 cm²

Solution of exercise 2

A square garden with a side length of 150 m has a square swimming pool in the very centre with a side length of 25 m . Calculate the area of the garden.

AP = 25² = 625 m²

AJ = 150² − 625 = 21 875 m²

Solution of exercise 3

Find the length of the diagonal of a square with a side of 5 cm.

Solution of exercise 4

Determine the area of the square inscribed in a circle with a circumference of 18.84 cm.

Solution of exercise 5

A square with a side of 2 m has a circle inscribed in it and in turn this circle has a square inscribed in it. If this square also has a circle inscribed in it, what is the area between the last square and the last circle.

Solution of exercise 6

Calculate the area enclosed by the inscribed and circumscribed circles to a square with a diagonal of 8 m in length.

Solution of exercise 7

Calculate the shaded area, knowing that the side of the outer square is 6 cm and the radius of the circle is 3 cm.

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Emma

I am passionate about travelling and currently live and work in Paris. I like to spend my time reading, gardening, running, learning languages and exploring new places.

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