Chapter Notes - Perimeter and Area Class 7 Notes | EduRev

Mathematics (Maths) Class 7

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Class 7 : Chapter Notes - Perimeter and Area Class 7 Notes | EduRev

The document Chapter Notes - Perimeter and Area Class 7 Notes | EduRev is a part of the Class 7 Course Mathematics (Maths) Class 7.
All you need of Class 7 at this link: Class 7

11. Perimeter and Area

Plane Figures

Chapter Notes - Perimeter and Area Class 7 Notes | EduRev

The area of the parallelogram is given by base x height.

Triangle:

Chapter Notes - Perimeter and Area Class 7 Notes | EduRev

A triangle is a polygon with three vertices, and three sides or edges that are line segments. A triangle with vertices A, B, and C is denoted as ABC

The perimeter of a triangle is the sum of the lengths of its sides. If the three sides are a, b, and c, then perimeterChapter Notes - Perimeter and Area Class 7 Notes | EduRev

Page 43

Chapter Notes - Perimeter and Area Class 7 Notes | EduRev

The area of a triangle is the space enclosed by its three sides. It is given by the formula, Chapter Notes - Perimeter and Area Class 7 Notes | EduRevwhere b is the base and h is the altitude.

Chapter Notes - Perimeter and Area Class 7 Notes | EduRev
A simple closed figure bounded by four line segments is called a quadrilateral.

Various types of quadrilateral are:
 Rectangle
Square
 Parallelogram
 Rhombus

Chapter Notes - Perimeter and Area Class 7 Notes | EduRev
A rectangle is a quadrilateral with opposite sides equal, and each angle of measure 90o.

Page 44

The perimeter of a rectangle is twice the sum of the lengths of its adjacent sides.
In the figure, the perimeter of rectangle ABCD = 2(AB + BC).

The area of a rectangle is the product of its length and breadth.
In the figure, the area of rectangle ABCD = AB x BC.

Chapter Notes - Perimeter and Area Class 7 Notes | EduRev

A square is a quadrilateral with four equal sides, and each angle of measure 90o.

The perimeter of a square with side s units is 4s.

In the figure, the perimeter of square ABCD = 4AB or 4BC or 4CD or 4DA.

The area of a square with side s is s2

In the figure, the perimeter of square ABCD = AB2 or BC2 or CD2 or DA2.

Chapter Notes - Perimeter and Area Class 7 Notes | EduRev

Page 45

A quadrilateral in which both the pairs of opposite sides are parallel is called a parallelogram.

The perimeter of a parallelogram is twice the sum of the lengths of the adjacent sides.

In the figure, the perimeter of parallelogram ABCD = 2(AB + BC)

The area of a parallelogram is the product of its base and perpendicular height or altitude.

Any side of a parallelogram can be taken as the base. The perpendicular dropped on that side from the opposite vertex is known as the height (altitude).

In the figure, the area of parallelogram ABCD = AB x DE or AD x BF.

Chapter Notes - Perimeter and Area Class 7 Notes | EduRev

A parallelogram in which the adjacent sides are equal is called a rhombus.

The perimeter and area of a rhombus can be calculated using the same formulae as that for a parallelogram.

Chapter Notes - Perimeter and Area Class 7 Notes | EduRev

Page 46

Circles

Chapter Notes - Perimeter and Area Class 7 Notes | EduRev

A circle is defined as a collection of points on a plane that are at an equal distance...

Circle:

A circle is defined as a collection of points on a plane that are at an equal distance from a fixed point on the plane. The fixed point is called the centre of the circle.

Circumference:

The distance around a circular region is known as its circumference.

Diameter:

Any straight line segment that passes through the centre of a circle and whose end points are on the circle is called its diameter.

Radius:

Any line segment from the centre of the circle to its circumference.

Chapter Notes - Perimeter and Area Class 7 Notes | EduRev

Page 47

Circumference of a circle =  2πr, where r is the radius of the circle or , where πd is the diameter of the circle.

Π is an irrational number, whose value is approximately equal to .

Circumference = Diameter x 3.14

Diameter(d) is equal to twice radius(r). d=2r

Circles with the same centre but different radii are called concentric circles.

Circle:

The area of a circle is the region enclosed in the circle.

The area of a circle can be calculated by using the formula:

    Chapter Notes - Perimeter and Area Class 7 Notes | EduRev if radius r is given
  Chapter Notes - Perimeter and Area Class 7 Notes | EduRev  if diameter D is given
 Chapter Notes - Perimeter and Area Class 7 Notes | EduRev  if circumference C is given

Chapter Notes - Perimeter and Area Class 7 Notes | EduRev

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