Explain the properties of rectangle, square, triangle & circle along with formulae of its perimeter and area
Answers
Step-by-step explanation:
Perimeter:
The length of the boundary of a closed figure is called the perimeter of the plane figure. The units of perimeter are same as that of length, i.e., m, cm, mm, etc.
Area:
A part of the plane enclosed by a simple closed figure is called a plane region and the measurement of plane region enclosed is called its area.
Area is measured in square units.
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.
Step-by-step explanation:
Shape -_---Area-_------ Terms
Circle A = π × r2 r = radius of the circle
Triangle A = ½ × b × h b = base h = height a ,b and c are the sides of the triangle
Square A = a2 a = length of side
Rectangle A = l × w l = length w = width