Accurate Perimeter Calculator for All Shapes.

Perimeter Calculator

easily to use Perimeter Calculator. calculate the perimeter of shapes like squares, rectangles, triangles, circles, parallelograms, trapezoids, ellipses, octagons, and sectors.

Calculation Note –

Square – side A

Rectangle – length – width

Triangle – side A , side B , side C

Circle – use only radius

Parallelogram – width , base

ellipse (oval) – major radius , minor radius

Octagon use only side – side

Perimeter Calculator

Select perimeter of:

Select metric:

Width:

Length:

Side A:

Side B:

Side C:

Radius:

Base:

Side:

Major Radius:

Minor Radius:

Perimeter Calculator

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What is a Perimeter?

The most important topic is the perimeter. What is the perimeter of any geometrical figure, be it a triangle, square, or parallelogram? What is its perimeter? What is its boundary? So, we have to keep in mind how to calculate the boundary. First of all, suppose we have a triangle. The triangle has three angles A, B, and C, and we are asked to find the perimeter of this triangle. So, since this is a closed geometrical figure, what will be its perimeter? If we look at the total of its boundary, that is, the length of the boundary, then that will be its perimeter. Whenever perimeter is mentioned, it has to be remembered very easily that whatever diagram it is, you have to calculate the length of its boundary, which is our perimeter, so, if it is a triangle, what is the formula? Add AB length + BC length + AC length; this becomes the perimeter of the triangle. So suppose we have the length; if one length is given as 5 cm, then the second one is given as 3 cm, and let’s say the third one is given as 4 cm, right? 5, 3, and 4, so if we are given these three sides of the triangle and we have to find the perimeter, then how will it be found? Add these three; the value of AB is 5, BC is 3. and AC is 4. So this is 5 + 3 + 4 = 12 which means our perimeter here is 12 cm, so it is easy; it is not necessary to be a triangle; let us assume any quadrilateral or any 4-sided diagram; this is the formula.

Square - Perimeter

The easy way is to calculate the perimeter of a square. The formula for calculating the perimeter of a square is also easy. this must always be remembered. As seen in the following image, the perimeter of a square Calculation formula is equal to side x 4.

With just one measurement to take, this is the form that is easily to compute.

As can be seen in the following image, the perimeter of a rectangle is equal to (width + height) x 2

Let us know For a perimeter of rectangle, you need to know its width and length. Ensure they are both in the same unit or change one if needed.

The only difference is that we have two pairs of equal-length sides –

We have given the formula for calculating the perimeter of a rectangle below.

The perimeter (P) of a rectangle is found by adding up all four sides. The formula is -

$� = 2 \times (Length + Width)$

Triangle - Perimeter

The perimeter of a triangle can be calculated using a variety of methods, but the formula is

P = side a + side b + side c. Observed in the following figure:

You don't always get three sides, though. Then, what are your options? To locate the missing side, however, you might utilize the law of cosines calculator instead of worrying:

$� = \sqrt{�^{2} + �^{2} - 2 � � \times \cos (�)}$ $c = a^{2} + b^{2} - 2 ab \times cos (γ)$

This can be added to the calculation for the perimeter:

� = \sqrt{�^{2} + �^{2} - 2 � � \times \cos (�) This can be incorporated into the perimeter formula:}

\begin{aligned} �_{t r i a n g l e} = �^{2} + �^{2} \\ + \sqrt{�^{2} + �^{2} - 2 � � \times \cos (�)} \end{aligned}

If you have one side and the two neighboring angles, your choice is to use the law of sines:

� = \sin (�) \times \frac{�}{\sin (� + �)}

And:

� = \sin (�) \times \frac{�}{\sin (� + �)},

Thus, the triangle's perimeter may be written as follows:

\begin{aligned} �_{t r i a n g l e} & = � + \frac{�}{\sin (� + �)} \\ \times (\sin (�) + \sin (�)) \end{aligned}

Circle - Circumference

The circumference of a circle may also be expressed as 2 x π x (diameter / 2), the diameter of the circle is equal to d = 2 x r. Visual on the following figure:

It is typically simpler to measure the diameter precisely than the radius in practical applications. Furthermore, rather than the radius, the circle diameter is usually provided in engineering diagrams.

Parallelogram - Perimeter

The graphic below illustrates the formula for calculating the perimeter of a parallelogram, which is

P = (width + height) x 2.

The most straightforward one, adding be all sides together:

2 . The formula for calculating a parallelogram's perimeter requires one side and two diagonals.

\begin{aligned} �_{p a r a l l e l o g r a m} = 2 �^{2} \\ + \sqrt{2 �^{2} + 2 �^{2} - 4 �^{2}} \end{aligned}

3 . The perimeter is expressed in terms of any parallelogram angle, height, and base.

�_{p a r a l l e l o g r a m} = 2 (� + \frac{ℎ}{\sin (�)})

Trapezoid - Perimeter

As can be seen in the following image, the perimeter of a trapezoid. Formula –

P = base 1 + base 2 + sides a + b.

P trapezoid=a+b+c+d

Ellipse - Perimeter ( oval )

The ellipse circumference equation, which is determined by the following procedures, must be used to determine an ellipse’s circumference:

Since calculating an ellipse’s circumference is extremely tricky, there isn’t a single formula for it. We compute it exactly using a method that requires an endless amount of calculations to provide an exact result. There is a little inaccuracy if the number of computations is fewer than infinite. We only do several steps since it converges to the real value rapidly.

The formula for h = (major radius – minor radius)2 / (major radius + minor radius)2 is first determined by the calculator. Next, the perimeter is calculated to be equal to π x (major radius + minor radius) x (1 + h * 0.25 + h² * (1/64) + h³ * (1/256) + h⁴ * (25/16384) + h⁵ * (49/65536) + h⁶ * (441/1048576). Draw on the following figure:

Sector - Perimeter

Arc length + 2 * Radius (Arc length can calculated using the formula: Arc length = (Angle in degrees / 360) * Circumference)

A sector’s perimeter is calculated using the formula

P = 2 x radius + radius x angle x (π / 360). Draw on the following figure:

Octagon - Perimeter

The easiest shape to calculate, A regular octagon’s perimeter may be calculated using the following formula:

P = Side length x 8

Perimeter Calculator

What is a Perimeter?

Square - Perimeter

As can be seen in the following image, the perimeter of a rectangle is equal to (width + height) x 2

Triangle - Perimeter

Circle - Circumference

Parallelogram - Perimeter

Trapezoid - Perimeter

Ellipse - Perimeter ( oval )

Sector - Perimeter

Octagon - Perimeter

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