Square Problems
1Calculate the area and perimeter of a square with a side of 5 cm.
2A 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.
3Find the length of the diagonal of a square with a side of 5 cm.
4Determine the area of the square inscribed in a circle with a circumference of 18.84 cm.
5A 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.
6Calculate the area enclosed by the inscribed and circumscribed circles to a square with a diagonal of 8 m in length.
7Calculate the shaded area, knowing that the side of the outer square is 6 cm and the radius of the circle is 3 cm.
1
Calculate the area and perimeter of a square with a side of 5 cm.
P = 4 · 5 = 20 cm
A = 52 = 25 cm2
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
3
Find the length of the diagonal of a square with a side of 5 cm.
4
Determine the area of the square inscribed in a circle with a circumference of 18.84 cm.
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.
6
Calculate the area enclosed by the inscribed and circumscribed circles to a square with a diagonal of 8 m in length.
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.
