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 exercisesExercise 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.