Perimeter of Rectangle given Length and Circumradius Calculator

✖Length of Rectangle is any one of the pair of parallel sides which are longer than the remaining pair of parallel sides.ⓘ Length of Rectangle [l]			+10% -10%
✖Circumradius of Rectangle is the radius of the circle which contains the Rectangle with all the vertices of Rectangle are lying on the circle.ⓘ Circumradius of Rectangle [r_c]			+10% -10%

✖Perimeter of Rectangle is the total length of all the boundary lines of the Rectangle.ⓘ Perimeter of Rectangle given Length and Circumradius [P]

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Formula

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Perimeter of Rectangle given Length and Circumradius

Formula

P = 2 \cdot (l + \sqrt{(4 \cdot {r c}^{2}) - l^{2}})

Example

28 m = 2 \cdot (8 m + \sqrt{(4 \cdot {5 m}^{2}) - {8 m}^{2}})

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Perimeter of Rectangle given Length and Circumradius Solution

STEP 0: Pre-Calculation Summary

Formula Used

Perimeter of Rectangle = 2*(Length of Rectangle+sqrt((4*Circumradius of Rectangle^2)-Length of Rectangle^2))
P = 2*(l+sqrt((4*r_c^2)-l^2))
This formula uses 1 Functions, 3 Variables

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

Perimeter of Rectangle - (Measured in Meter) - Perimeter of Rectangle is the total length of all the boundary lines of the Rectangle.
Length of Rectangle - (Measured in Meter) - Length of Rectangle is any one of the pair of parallel sides which are longer than the remaining pair of parallel sides.
Circumradius of Rectangle - (Measured in Meter) - Circumradius of Rectangle is the radius of the circle which contains the Rectangle with all the vertices of Rectangle are lying on the circle.

STEP 1: Convert Input(s) to Base Unit

Length of Rectangle: 8 Meter --> 8 Meter No Conversion Required
Circumradius of Rectangle: 5 Meter --> 5 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P = 2*(l+sqrt((4*r_c^2)-l^2)) --> 2*(8+sqrt((4*5^2)-8^2))

Evaluating ... ...

P = 28

STEP 3: Convert Result to Output's Unit

28 Meter --> No Conversion Required

FINAL ANSWER

28 Meter <-- Perimeter of Rectangle

(Calculation completed in 00.020 seconds)

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Birsa Institute of Technology (BIT), Sindri

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< Perimeter of Rectangle Calculators

Perimeter of Rectangle given Breadth and Circumradius

Go Perimeter of Rectangle = 2*(Breadth of Rectangle+sqrt((4*Circumradius of Rectangle^2)-Breadth of Rectangle^2))

Perimeter of Rectangle given Diagonal and Length

Go Perimeter of Rectangle = 2*(Length of Rectangle+sqrt(Diagonal of Rectangle^2-Length of Rectangle^2))

Perimeter of Rectangle given Area and Length

Go Perimeter of Rectangle = (2*(Area of Rectangle+Length of Rectangle^2))/Length of Rectangle

Perimeter of Rectangle

Go Perimeter of Rectangle = 2*(Length of Rectangle+Breadth of Rectangle)

Perimeter of Rectangle given Length and Circumradius Formula

Perimeter of Rectangle = 2*(Length of Rectangle+sqrt((4*Circumradius of Rectangle^2)-Length of Rectangle^2))
P = 2*(l+sqrt((4*r_c^2)-l^2))

What is a Rectangle?

A Rectangle is a two dimensional geometric shape having four sides and four corners. The four sides are in two pairs, in which each pair of lines are equal in length and parallel to each other. And adjacent sides are perpendicular to each other. In general a 2D shape with four boundary edges are called quadrilaterals. So a rectangle is a quadrilateral in which each corner is right angle.

How to Calculate Perimeter of Rectangle given Length and Circumradius?

Perimeter of Rectangle given Length and Circumradius calculator uses Perimeter of Rectangle = 2*(Length of Rectangle+sqrt((4*Circumradius of Rectangle^2)-Length of Rectangle^2)) to calculate the Perimeter of Rectangle, Perimeter of Rectangle given Length and Circumradius formula is defined as the total length of all the boundary lines of the Rectangle, and calculated using length and circumradius of the Rectangle. Perimeter of Rectangle is denoted by P symbol.

How to calculate Perimeter of Rectangle given Length and Circumradius using this online calculator? To use this online calculator for Perimeter of Rectangle given Length and Circumradius, enter Length of Rectangle (l) & Circumradius of Rectangle (r_c) and hit the calculate button. Here is how the Perimeter of Rectangle given Length and Circumradius calculation can be explained with given input values -> 28 = 2*(8+sqrt((4*5^2)-8^2)).

FAQ

What is Perimeter of Rectangle given Length and Circumradius?

Perimeter of Rectangle given Length and Circumradius formula is defined as the total length of all the boundary lines of the Rectangle, and calculated using length and circumradius of the Rectangle and is represented as P = 2*(l+sqrt((4*r_c^2)-l^2)) or Perimeter of Rectangle = 2*(Length of Rectangle+sqrt((4*Circumradius of Rectangle^2)-Length of Rectangle^2)). Length of Rectangle is any one of the pair of parallel sides which are longer than the remaining pair of parallel sides & Circumradius of Rectangle is the radius of the circle which contains the Rectangle with all the vertices of Rectangle are lying on the circle.

How to calculate Perimeter of Rectangle given Length and Circumradius?

Perimeter of Rectangle given Length and Circumradius formula is defined as the total length of all the boundary lines of the Rectangle, and calculated using length and circumradius of the Rectangle is calculated using Perimeter of Rectangle = 2*(Length of Rectangle+sqrt((4*Circumradius of Rectangle^2)-Length of Rectangle^2)). To calculate Perimeter of Rectangle given Length and Circumradius, you need Length of Rectangle (l) & Circumradius of Rectangle (r_c). With our tool, you need to enter the respective value for Length of Rectangle & Circumradius of Rectangle and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Perimeter of Rectangle?

In this formula, Perimeter of Rectangle uses Length of Rectangle & Circumradius of Rectangle. We can use 3 other way(s) to calculate the same, which is/are as follows -

Perimeter of Rectangle = 2*(Length of Rectangle+Breadth of Rectangle)
Perimeter of Rectangle = 2*(Length of Rectangle+sqrt(Diagonal of Rectangle^2-Length of Rectangle^2))
Perimeter of Rectangle = (2*(Area of Rectangle+Length of Rectangle^2))/Length of Rectangle

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