Here is the list of free online geometry exercises for calculating distances, perimeters, areas, hypotenuse of a right triangle, vector coordinates. Each corrected exercise is accompanied by hints, reminders and methodological advice to help you practise independently.

10 exercises
• N°1242 (geometry) : The purpose of this exercise is to calculate the perimeter of a circle knowing its radius.

Exercise example :

The perimeter of a circle is given by the formula P=2*pi*r, where r is the radius of the circle.
Give an approximate value to 2 decimal places of the perimeter of a circle of radius 7.

1242 perimeter_circle
• N°1245 (geometry) : The purpose of this corrected exercise is to practice calculating the area of a disk.

Exercise example :

The area of a disk is given by the formula A=pi*r^2, where r is the radius of the circle.
Give an approximate value to 2 decimal places of the area of a disk of radius 14.

1245 area_circle
• N°3300 (geometry) : The purpose of this exercise is to calculate the hypotenuse of a right triangle using the Pythagorean theorem.

Exercise example :

In the triangle ABC rectangle in A, we give AB=20 and AC=15..
Calculate BC.

• N°3441 (geometry) : The purpose of this corrected exercise is to calculate the coordinates of a vector from the coordinates of two points.

Exercise example :

Let(O,vec(i),vec(j)) be a reference frame of the plane. Let A and D be two points of coordinates (13,8) and (7,6) respectively in this frame, compute the coordinates of the vector vec(AD).

3441 vector_coordinates
• N°3442 (geometry) : The purpose of this corrected exercise is to calculate the distance between two points from their coordinates.

Exercise example :

The plane is given an orthonormal reference frame (O,vec(i),vec(j)). Let A and D be two points of coordinates (13,8) and (7,6) respectively in this frame, calculate the distance between A and D .

3442 vector_norm
• N°3443 (geometry) : The purpose of this corrected analytical geometry exercise is to calculate the coordinates of the midpoint of a segment from coordinates.

Exercise example :

Let(O,vec(i),vec(j)) be a reference frame of the plane. Let D and H be two points of coordinates (2,8) and (2,7) respectively in this frame, compute the coordinates of the middle of the segment [DH].

3443
• N°11201 (geometry) : The purpose of this corrected exercise is to practice calculating the area of a rectangle.

Exercise example :

The area of a rectangle is given by the formula L*l where L is the length and l is the width. Calculate the area of a rectangle where L=9 and l=6.

11201 area_rectangle
• N°11202 (geometry) : The purpose of this corrected exercise is to practice calculating the area of a square.

Exercise example :

The area of a square is given by the formula l*l where l is the length of a side. Calculate the area of a square where l=9.

11202 area_square
• N°11203 (geometry) : The objective of this exercise is to calculate the perimeter of a rectangle knowing its length and width.

Exercise example :

The perimeter of a rectangle is given by the formula 2*(L+l), where L is the length and l the width.
Calculate the perimeter of a rectangle of length L=20 and width l=12.

11203 perimeter_rectangle
• N°11204 (geometry) : The objective of this corrected exercise is training in calculating the perimeter of a square knowing the length of a side.

Exercise example :

The perimeter of a square is given by the formula 4*l, where l is the length of a side. Calculate the perimeter of a square of length l=20.

11204 perimeter_square