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.

Area of a Circle


1

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

Square

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.

Area of a Square Problem


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.

Diagonal of the Square

Square Exercise

Square Solution


4

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

Square Inscribed in Circle

Square Exercise

Square Operations

Square Solution


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.


Circles Inscribed in Squares

Square Exercise

Square Operations

Square Operations

Square Operations

Square Operations

Square Solution


6

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

Concentric Circles Problem

Square Exercise

Square Operations

Square Operations

Square Operations

Square Solution


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.

Area of a Circle

Square Exercise

Square Operations

Square Solution




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