Circumradius of Tri-equilateral Trapezoid Calculator

✖Equal Edge of Tri-equilateral Trapezoid is one of the parallel edges and any of the non parallel legs of Tri-equilateral Trapezoid which are equal in length.ⓘ Equal Edge of Tri-equilateral Trapezoid [l_e(Equal)]			+10% -10%
✖Unequal Edge of Tri-equilateral Trapezoid is one of the parallel edges of Tri-equilateral Trapezoid which is not equal to the remaining three edges.ⓘ Unequal Edge of Tri-equilateral Trapezoid [l_e(Unequal)]			+10% -10%

✖Circumradius of Tri-equilateral Trapezoid is the radius of the circumcircle of the Tri-equilateral Trapezoid or radius of the circle that contains the shape with all vertices lies on the circle.ⓘ Circumradius of Tri-equilateral Trapezoid [r_c]

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Circumradius of Tri-equilateral Trapezoid Solution

STEP 0: Pre-Calculation Summary

Formula Used

Circumradius of Tri-equilateral Trapezoid = Equal Edge of Tri-equilateral Trapezoid*sqrt((Equal Edge of Tri-equilateral Trapezoid*(Unequal Edge of Tri-equilateral Trapezoid+Equal Edge of Tri-equilateral Trapezoid))/(4*Equal Edge of Tri-equilateral Trapezoid^2-(Unequal Edge of Tri-equilateral Trapezoid-Equal Edge of Tri-equilateral Trapezoid)^2))
r_c = l_e(Equal)*sqrt((l_e(Equal)*(l_e(Unequal)+l_e(Equal)))/(4*l_e(Equal)^2-(l_e(Unequal)-l_e(Equal))^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

Circumradius of Tri-equilateral Trapezoid - (Measured in Meter) - Circumradius of Tri-equilateral Trapezoid is the radius of the circumcircle of the Tri-equilateral Trapezoid or radius of the circle that contains the shape with all vertices lies on the circle.
Equal Edge of Tri-equilateral Trapezoid - (Measured in Meter) - Equal Edge of Tri-equilateral Trapezoid is one of the parallel edges and any of the non parallel legs of Tri-equilateral Trapezoid which are equal in length.
Unequal Edge of Tri-equilateral Trapezoid - (Measured in Meter) - Unequal Edge of Tri-equilateral Trapezoid is one of the parallel edges of Tri-equilateral Trapezoid which is not equal to the remaining three edges.

STEP 1: Convert Input(s) to Base Unit

Equal Edge of Tri-equilateral Trapezoid: 5 Meter --> 5 Meter No Conversion Required
Unequal Edge of Tri-equilateral Trapezoid: 12 Meter --> 12 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r_c = l_e(Equal)*sqrt((l_e(Equal)*(l_e(Unequal)+l_e(Equal)))/(4*l_e(Equal)^2-(l_e(Unequal)-l_e(Equal))^2)) --> 5*sqrt((5*(12+5))/(4*5^2-(12-5)^2))

Evaluating ... ...

r_c = 6.45497224367903

STEP 3: Convert Result to Output's Unit

6.45497224367903 Meter --> No Conversion Required

FINAL ANSWER

6.45497224367903 ≈ 6.454972 Meter <-- Circumradius of Tri-equilateral Trapezoid

(Calculation completed in 00.008 seconds)

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< Circumradius and Diagonal of Tri Equilateral Trapezoid Calculators

Circumradius of Tri-equilateral Trapezoid

LaTeX Go Circumradius of Tri-equilateral Trapezoid = Equal Edge of Tri-equilateral Trapezoid*sqrt((Equal Edge of Tri-equilateral Trapezoid*(Unequal Edge of Tri-equilateral Trapezoid+Equal Edge of Tri-equilateral Trapezoid))/(4*Equal Edge of Tri-equilateral Trapezoid^2-(Unequal Edge of Tri-equilateral Trapezoid-Equal Edge of Tri-equilateral Trapezoid)^2))

Diagonal of Tri-equilateral Trapezoid

LaTeX Go Diagonal of Tri-equilateral Trapezoid = sqrt(Equal Edge of Tri-equilateral Trapezoid*(Unequal Edge of Tri-equilateral Trapezoid+Equal Edge of Tri-equilateral Trapezoid))

Circumradius of Tri-equilateral Trapezoid Formula

LaTeX Go

What is a Tri-equilateral Trapezoid?

A Tri-equilateral Trapezoid is a quadrilateral having a pair of parallel sides which are opposite to each other and the remaining two non parallel sides and one of the parallel sides are equal in length. In short, it is an Equilateral Trapezoid in which one of the parallel sides is equal to the non parallel sides.

How to Calculate Circumradius of Tri-equilateral Trapezoid?

Circumradius of Tri-equilateral Trapezoid calculator uses Circumradius of Tri-equilateral Trapezoid = Equal Edge of Tri-equilateral Trapezoid*sqrt((Equal Edge of Tri-equilateral Trapezoid*(Unequal Edge of Tri-equilateral Trapezoid+Equal Edge of Tri-equilateral Trapezoid))/(4*Equal Edge of Tri-equilateral Trapezoid^2-(Unequal Edge of Tri-equilateral Trapezoid-Equal Edge of Tri-equilateral Trapezoid)^2)) to calculate the Circumradius of Tri-equilateral Trapezoid, Circumradius of Tri-equilateral Trapezoid formula is defined as the radius of the circumcircle of the Tri-equilateral Trapezoid or radius of the circle that contains the shape with all vertices lying on the circle. Circumradius of Tri-equilateral Trapezoid is denoted by r_c symbol.

How to calculate Circumradius of Tri-equilateral Trapezoid using this online calculator? To use this online calculator for Circumradius of Tri-equilateral Trapezoid, enter Equal Edge of Tri-equilateral Trapezoid (l_e(Equal)) & Unequal Edge of Tri-equilateral Trapezoid (l_e(Unequal)) and hit the calculate button. Here is how the Circumradius of Tri-equilateral Trapezoid calculation can be explained with given input values -> 6.454972 = 5*sqrt((5*(12+5))/(4*5^2-(12-5)^2)).

FAQ

What is Circumradius of Tri-equilateral Trapezoid?

Circumradius of Tri-equilateral Trapezoid formula is defined as the radius of the circumcircle of the Tri-equilateral Trapezoid or radius of the circle that contains the shape with all vertices lying on the circle and is represented as r_c = l_e(Equal)*sqrt((l_e(Equal)*(l_e(Unequal)+l_e(Equal)))/(4*l_e(Equal)^2-(l_e(Unequal)-l_e(Equal))^2)) or Circumradius of Tri-equilateral Trapezoid = Equal Edge of Tri-equilateral Trapezoid*sqrt((Equal Edge of Tri-equilateral Trapezoid*(Unequal Edge of Tri-equilateral Trapezoid+Equal Edge of Tri-equilateral Trapezoid))/(4*Equal Edge of Tri-equilateral Trapezoid^2-(Unequal Edge of Tri-equilateral Trapezoid-Equal Edge of Tri-equilateral Trapezoid)^2)). Equal Edge of Tri-equilateral Trapezoid is one of the parallel edges and any of the non parallel legs of Tri-equilateral Trapezoid which are equal in length & Unequal Edge of Tri-equilateral Trapezoid is one of the parallel edges of Tri-equilateral Trapezoid which is not equal to the remaining three edges.

How to calculate Circumradius of Tri-equilateral Trapezoid?

Circumradius of Tri-equilateral Trapezoid formula is defined as the radius of the circumcircle of the Tri-equilateral Trapezoid or radius of the circle that contains the shape with all vertices lying on the circle is calculated using Circumradius of Tri-equilateral Trapezoid = Equal Edge of Tri-equilateral Trapezoid*sqrt((Equal Edge of Tri-equilateral Trapezoid*(Unequal Edge of Tri-equilateral Trapezoid+Equal Edge of Tri-equilateral Trapezoid))/(4*Equal Edge of Tri-equilateral Trapezoid^2-(Unequal Edge of Tri-equilateral Trapezoid-Equal Edge of Tri-equilateral Trapezoid)^2)). To calculate Circumradius of Tri-equilateral Trapezoid, you need Equal Edge of Tri-equilateral Trapezoid (l_e(Equal)) & Unequal Edge of Tri-equilateral Trapezoid (l_e(Unequal)). With our tool, you need to enter the respective value for Equal Edge of Tri-equilateral Trapezoid & Unequal Edge of Tri-equilateral Trapezoid and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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