What is the perimeter of triangle, rectangle, square, circle, trapezium, pentagon,
Answers
Answer:
Step-by-step explanation:Perimeter of a triangle
Triangle
P = a + b + c
Perimeter of a square
Square
Squares have four equal sides.
Let the length of side be a.
The perimeter of а square is P = a + a + a + a or:
P = 4 ⋅ a
Perimeter of a rectangle
rectangle
Let the length and width of a rectangle be a and b.
The sum of the lengths of the sides is P = a + b + a + b or:
P = 2 ⋅ a + 2 ⋅ b
Perimeter of a parallelogram
parallelogram
Since the opposite sides of a palallelogram are equal in length its perimeter is P = a + b + a + b or:
P = 2 ⋅ a + 2 ⋅ b
As we see the perimeter of the parallelogram is equal the perimeter of the rectangle.
Perimeter of a rhombus
Rhombus
P = 4 ⋅ a
Perimeter of an isosceles trapezoid
trapezoid
Let a and b be the lengths of the parallel sides. Since it is isosceles the other two sides are equal in length and let c be their length.
P = a + b + c + c = a + b + 2 ⋅ c
Perimeter of an equilateral triangle
equilateral triangle
As we know equilateral triangles have 3 equal sides. So if the length of a side is a then the perimeter formula is P = a + a + a
P = 3 ⋅ a
Circumference of a circle
circle
\displaystyle C = d \cdot \pi = 2 \cdot r \cdot \piC=d⋅π=2⋅r⋅π
\displaystyle \pi = 3.14π=3.14
r is radius.
d is diameter.
Regular polygon
Perimeter of regular polygon
\displaystyle P = 2nb\sin\frac{\pi}{n}P=2nbsin
n
π
n is the number of edges(vertices).
\displaystyle \pi = 3.14159265359π=3.14159265359
perimeter of triangle= sum of all side
perimeter of rectangle = 2(l+b)
perimeter of square = 4(side)
perimeter of circle = 2πr
perimeter of trapezium= sum of all side
perimeter of pentagon = sum of all side
hope it helps you