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Summary: Perimeter & Area Notes | Study Mathematics (Maths) Class 7 - Class 7

Document Description: Summary: Perimeter & Area for Class 7 2022 is part of Mathematics (Maths) Class 7 preparation. The notes and questions for Summary: Perimeter & Area have been prepared according to the Class 7 exam syllabus. Information about Summary: Perimeter & Area covers topics like and Summary: Perimeter & Area Example, for Class 7 2022 Exam. Find important definitions, questions, notes, meanings, examples, exercises and tests below for Summary: Perimeter & Area.

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Squares and Rectangles
  • Perimeter of a regular polygon = number of sides × length of one side
  • Perimeter of a square = 4 × side
  • Perimeter of a rectangle = 2 × (l + b)
  • Area of a rectangle = l × b
  • Area of a square = side × side

Triangles as Parts of Rectangles

  • If we cut the rectangle along its diagonal to get two triangles, then
    The area of each triangle = 1/2 (Area of the rectangle)
  • If we take a square and divide it into 4 triangles, then
    The area of each triangle = 1/4 (Area of the square)

Area of Parallelogram

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

Area of a Triangle

  • The area of triangle = 1/2 × base × height.
  • Are of equilateral triangle = √3/4 × (side)2
  • All the congruent triangles are equal in area but the triangles equal in area need not be congruent.

Circle

  • The distance around a circle is known as its circumference.
  • The ratio of circumference and diameter of a circle is a constant and is denoted by it (pi).
  • Approximate value of π is taken as 22/7 or 3.14.
  • Circumference of a circle of radius r = 2πr
  • Area of a circle of radius r = πr2.
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