Semiperimeter of Cyclic Quadrilateral given Sides Solution

STEP 0: Pre-Calculation Summary
Formula Used
Semiperimeter of Cyclic Quadrilateral = (Side A of Cyclic Quadrilateral+Side B of Cyclic Quadrilateral+Side C of Cyclic Quadrilateral+Side D of Cyclic Quadrilateral)/2
s = (Sa+Sb+Sc+Sd)/2
This formula uses 5 Variables
Variables Used
Semiperimeter of Cyclic Quadrilateral - (Measured in Meter) - Semiperimeter of Cyclic Quadrilateral is half of the sum of all the sides of the Cyclic Quadrilateral.
Side A of Cyclic Quadrilateral - (Measured in Meter) - Side A of Cyclic Quadrilateral is one of the four sides of the Cyclic Quadrilateral.
Side B of Cyclic Quadrilateral - (Measured in Meter) - Side B of Cyclic Quadrilateral is one of the four sides of the Cyclic Quadrilateral.
Side C of Cyclic Quadrilateral - (Measured in Meter) - Side C of Cyclic Quadrilateral is one of the four sides of Cyclic Quadrilateral.
Side D of Cyclic Quadrilateral - (Measured in Meter) - Side D of Cyclic Quadrilateral is one of the four sides of the Cyclic Quadrilateral.
STEP 1: Convert Input(s) to Base Unit
Side A of Cyclic Quadrilateral: 10 Meter --> 10 Meter No Conversion Required
Side B of Cyclic Quadrilateral: 9 Meter --> 9 Meter No Conversion Required
Side C of Cyclic Quadrilateral: 8 Meter --> 8 Meter No Conversion Required
Side D of Cyclic Quadrilateral: 5 Meter --> 5 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
s = (Sa+Sb+Sc+Sd)/2 --> (10+9+8+5)/2
Evaluating ... ...
s = 16
STEP 3: Convert Result to Output's Unit
16 Meter --> No Conversion Required
FINAL ANSWER
16 Meter <-- Semiperimeter of Cyclic Quadrilateral
(Calculation completed in 00.020 seconds)

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Perimeter of Cyclic Quadrilateral Calculators

Semiperimeter of Cyclic Quadrilateral given Sides
​ LaTeX ​ Go Semiperimeter of Cyclic Quadrilateral = (Side A of Cyclic Quadrilateral+Side B of Cyclic Quadrilateral+Side C of Cyclic Quadrilateral+Side D of Cyclic Quadrilateral)/2
Perimeter of Cyclic Quadrilateral
​ LaTeX ​ Go Perimeter of Cyclic Quadrilateral = Side A of Cyclic Quadrilateral+Side B of Cyclic Quadrilateral+Side C of Cyclic Quadrilateral+Side D of Cyclic Quadrilateral
Perimeter of Cyclic Quadrilateral given Semiperimeter
​ LaTeX ​ Go Perimeter of Cyclic Quadrilateral = 2*Semiperimeter of Cyclic Quadrilateral
Semiperimeter of Cyclic Quadrilateral
​ LaTeX ​ Go Semiperimeter of Cyclic Quadrilateral = Perimeter of Cyclic Quadrilateral/2

Semiperimeter of Cyclic Quadrilateral given Sides Formula

​LaTeX ​Go
Semiperimeter of Cyclic Quadrilateral = (Side A of Cyclic Quadrilateral+Side B of Cyclic Quadrilateral+Side C of Cyclic Quadrilateral+Side D of Cyclic Quadrilateral)/2
s = (Sa+Sb+Sc+Sd)/2

What is a Cyclic Quadrilateral?

A Cyclic Quadrilateral is a quadrilateral that can be inscribed in a circle, meaning that there exists a circle that passes through all four vertices of the quadrilateral. Cyclic quadrilaterals are useful in various types of geometry problems, particularly those in which angle chasing is required.

How to Calculate Semiperimeter of Cyclic Quadrilateral given Sides?

Semiperimeter of Cyclic Quadrilateral given Sides calculator uses Semiperimeter of Cyclic Quadrilateral = (Side A of Cyclic Quadrilateral+Side B of Cyclic Quadrilateral+Side C of Cyclic Quadrilateral+Side D of Cyclic Quadrilateral)/2 to calculate the Semiperimeter of Cyclic Quadrilateral, The Semiperimeter of Cyclic Quadrilateral given Sides formula is defined as half of the perimeter of the Cyclic Quadrilateral, calculated using all sides. Semiperimeter of Cyclic Quadrilateral is denoted by s symbol.

How to calculate Semiperimeter of Cyclic Quadrilateral given Sides using this online calculator? To use this online calculator for Semiperimeter of Cyclic Quadrilateral given Sides, enter Side A of Cyclic Quadrilateral (Sa), Side B of Cyclic Quadrilateral (Sb), Side C of Cyclic Quadrilateral (Sc) & Side D of Cyclic Quadrilateral (Sd) and hit the calculate button. Here is how the Semiperimeter of Cyclic Quadrilateral given Sides calculation can be explained with given input values -> 16 = (10+9+8+5)/2.

FAQ

What is Semiperimeter of Cyclic Quadrilateral given Sides?
The Semiperimeter of Cyclic Quadrilateral given Sides formula is defined as half of the perimeter of the Cyclic Quadrilateral, calculated using all sides and is represented as s = (Sa+Sb+Sc+Sd)/2 or Semiperimeter of Cyclic Quadrilateral = (Side A of Cyclic Quadrilateral+Side B of Cyclic Quadrilateral+Side C of Cyclic Quadrilateral+Side D of Cyclic Quadrilateral)/2. Side A of Cyclic Quadrilateral is one of the four sides of the Cyclic Quadrilateral, Side B of Cyclic Quadrilateral is one of the four sides of the Cyclic Quadrilateral, Side C of Cyclic Quadrilateral is one of the four sides of Cyclic Quadrilateral & Side D of Cyclic Quadrilateral is one of the four sides of the Cyclic Quadrilateral.
How to calculate Semiperimeter of Cyclic Quadrilateral given Sides?
The Semiperimeter of Cyclic Quadrilateral given Sides formula is defined as half of the perimeter of the Cyclic Quadrilateral, calculated using all sides is calculated using Semiperimeter of Cyclic Quadrilateral = (Side A of Cyclic Quadrilateral+Side B of Cyclic Quadrilateral+Side C of Cyclic Quadrilateral+Side D of Cyclic Quadrilateral)/2. To calculate Semiperimeter of Cyclic Quadrilateral given Sides, you need Side A of Cyclic Quadrilateral (Sa), Side B of Cyclic Quadrilateral (Sb), Side C of Cyclic Quadrilateral (Sc) & Side D of Cyclic Quadrilateral (Sd). With our tool, you need to enter the respective value for Side A of Cyclic Quadrilateral, Side B of Cyclic Quadrilateral, Side C of Cyclic Quadrilateral & Side D of Cyclic Quadrilateral 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 Semiperimeter of Cyclic Quadrilateral?
In this formula, Semiperimeter of Cyclic Quadrilateral uses Side A of Cyclic Quadrilateral, Side B of Cyclic Quadrilateral, Side C of Cyclic Quadrilateral & Side D of Cyclic Quadrilateral. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Semiperimeter of Cyclic Quadrilateral = Perimeter of Cyclic Quadrilateral/2
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