Question

conclusion on topic area and perimeter of plane figure

Answer 1

A flat, closed figure that is in a plane is called a plane figure. A plane figure can be made of straight lines, curved lines, or both straight and curved lines. 

Perimeter and Area of Rectangle:

● The perimeter of rectangle = 2(l + b). 

● Area of rectangle = l × b; (l and b are the length and breadth of rectangle)

● Diagonal of rectangle = √(l² + b²)



Perimeter and Area of the Square:

● Perimeter of square = 4 × S. 

● Area of square = S × S. 

● Diagonal of square = S√2; (S is the side of square) 



Perimeter and Area of the Triangle: 

● Perimeter of triangle = (a + b + c); (a, b, c are 3 sides of a triangle) 

● Area of triangle = √(s(s - a) (s - b) (s - c)); (s is the semi-perimeter of triangle) 

● S = 1/2 (a + b + c) 

● Area of triangle = 1/2 × b × h; (b base , h height) 

● Area of an equilateral triangle = (a²√3)/4; (a is the side of triangle) 



Perimeter and Area of the Parallelogram: 

● Perimeter of parallelogram = 2 (sum of adjacent sides) 

● Area of parallelogram = base × height 


Perimeter and Area of the Rhombus: 

● Area of rhombus = base × height 

● Area of rhombus = 1/2 × length of one diagonal × length of other diagonal

● Perimeter of rhombus = 4 × side



Perimeter and Area of the Trapezium: 

● Area of trapezium = 1/2 (sum of parallel sides) × (perpendicular distance between them) 
                                = 1/2 (p₁ + p₂) × h (p₁, p₂ are 2 parallel sides) 



Circumference and Area of Circle: 

● Circumference of circle = 2πr
                                        = πd
                       Where, π = 3.14 or π = 22/7
                                     r is the radius of circle 
                                     d is the diameter of circle
● Area of circle = πr²

● Area of ring = Area of outer circle - Area of inner circle.

Answer 2

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