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.

Exercise example N°1242 :

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.

perimeters and areas geometry 6th Grade 7th Grade perimeter_circle

The purpose of this exercise is to calculate the perimeter of a circle knowing its radius.

Exercise example N°1245 :

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.

perimeters and areas geometry 6th Grade 7th Grade area_circle

The purpose of this corrected exercise is to practice calculating the area of a disk.

Exercise example N°3300 :

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

Calculate BC.

right-angled triangles geometry 8th Grade pythagorean

The purpose of this exercise is to calculate the hypotenuse of a right triangle using the Pythagorean theorem.

Exercise example N°3441 :

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)`.

vectors geometry 9th Grade 10th Grade vector_coordinates

The purpose of this corrected exercise is to calculate the coordinates of a vector from the coordinates of two points.

Exercise example N°3442 :

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 .

vectors geometry 9th Grade 10th Grade vector_norm

The purpose of this corrected exercise is to calculate the distance between two points from their coordinates.

Exercise example N°3443 :

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].

vectors geometry 9th Grade 10th Grade

The purpose of this corrected analytical geometry exercise is to calculate the coordinates of the midpoint of a segment from coordinates.

Exercise example N°11201 :

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.

perimeters and areas geometry 6th Grade 7th Grade area_rectangle

The purpose of this corrected exercise is to practice calculating the area of a rectangle.

Exercise example N°11202 :

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.

perimeters and areas geometry 6th Grade 7th Grade area_square

The purpose of this corrected exercise is to practice calculating the area of a square.

Exercise example N°11203 :

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.

perimeters and areas geometry 6th Grade 7th Grade perimeter_rectangle

The objective of this exercise is to calculate the perimeter of a rectangle knowing its length and width.

Exercise example N°11204 :

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.

perimeters and areas geometry 6th Grade 7th Grade perimeter_square

The objective of this corrected exercise is training in calculating the perimeter of a square knowing the length of a side.