Circumradius of Isosceles Trapezoid given Diagonal and Height Calculator

✖Lateral Edge of Isosceles Trapezoid is the length of the pair of opposite and non parallel edges of the Isosceles Trapezoid.ⓘ Lateral Edge of Isosceles Trapezoid [l_e(Lateral)]			+10% -10%
✖Diagonal of Isosceles Trapezoid is the length of the line joining any pair of opposite corners of the Isosceles Trapezoid.ⓘ Diagonal of Isosceles Trapezoid [d]			+10% -10%
✖Height of Isosceles Trapezoid is the perpendicular distance between the pair of parallel base edges of the Isosceles Trapezoid.ⓘ Height of Isosceles Trapezoid [h]			+10% -10%

✖Circumradius of Isosceles Trapezoid is the radius of the circumcircle of the Isosceles Trapezoid or radius of the circle that contains the shape with all vertices lies on the circle.ⓘ Circumradius of Isosceles Trapezoid given Diagonal and Height [r_c]

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Circumradius of Isosceles Trapezoid given Diagonal and Height Solution

STEP 0: Pre-Calculation Summary

Formula Used

Circumradius of Isosceles Trapezoid = (Lateral Edge of Isosceles Trapezoid*Diagonal of Isosceles Trapezoid)/(2*Height of Isosceles Trapezoid)
r_c = (l_e(Lateral)*d)/(2*h)
This formula uses 4 Variables

Variables Used

Circumradius of Isosceles Trapezoid - (Measured in Meter) - Circumradius of Isosceles Trapezoid is the radius of the circumcircle of the Isosceles Trapezoid or radius of the circle that contains the shape with all vertices lies on the circle.
Lateral Edge of Isosceles Trapezoid - (Measured in Meter) - Lateral Edge of Isosceles Trapezoid is the length of the pair of opposite and non parallel edges of the Isosceles Trapezoid.
Diagonal of Isosceles Trapezoid - (Measured in Meter) - Diagonal of Isosceles Trapezoid is the length of the line joining any pair of opposite corners of the Isosceles Trapezoid.
Height of Isosceles Trapezoid - (Measured in Meter) - Height of Isosceles Trapezoid is the perpendicular distance between the pair of parallel base edges of the Isosceles Trapezoid.

STEP 1: Convert Input(s) to Base Unit

Lateral Edge of Isosceles Trapezoid: 5 Meter --> 5 Meter No Conversion Required
Diagonal of Isosceles Trapezoid: 13 Meter --> 13 Meter No Conversion Required
Height of Isosceles Trapezoid: 4 Meter --> 4 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r_c = (l_e(Lateral)*d)/(2*h) --> (5*13)/(2*4)

Evaluating ... ...

r_c = 8.125

STEP 3: Convert Result to Output's Unit

8.125 Meter --> No Conversion Required

FINAL ANSWER

8.125 Meter <-- Circumradius of Isosceles Trapezoid

(Calculation completed in 00.004 seconds)

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< Circumradius of Isosceles Trapezoid Calculators

Circumradius of Isosceles Trapezoid

LaTeX Go Circumradius of Isosceles Trapezoid = (Lateral Edge of Isosceles Trapezoid*sqrt((Long Base of Isosceles Trapezoid*Short Base of Isosceles Trapezoid)+Lateral Edge of Isosceles Trapezoid^2))/sqrt((4*Lateral Edge of Isosceles Trapezoid^2)-(Long Base of Isosceles Trapezoid-Short Base of Isosceles Trapezoid)^2)

Circumradius of Isosceles Trapezoid given Diagonal

LaTeX Go Circumradius of Isosceles Trapezoid = Diagonal of Isosceles Trapezoid*sqrt(Diagonal of Isosceles Trapezoid^2-(Long Base of Isosceles Trapezoid*Short Base of Isosceles Trapezoid))/sqrt((4*Diagonal of Isosceles Trapezoid^2)-(Long Base of Isosceles Trapezoid+Short Base of Isosceles Trapezoid)^2)

Circumradius of Isosceles Trapezoid given Diagonal and Height

LaTeX Go Circumradius of Isosceles Trapezoid = (Lateral Edge of Isosceles Trapezoid*Diagonal of Isosceles Trapezoid)/(2*Height of Isosceles Trapezoid)

Circumradius of Isosceles Trapezoid given Diagonal and Height Formula

LaTeX Go

Circumradius of Isosceles Trapezoid = (Lateral Edge of Isosceles Trapezoid*Diagonal of Isosceles Trapezoid)/(2*Height of Isosceles Trapezoid)
r_c = (l_e(Lateral)*d)/(2*h)

What is an Isosceles Trapezoid?

A Trapezoid is a quadrilateral with one pair of parallel edges. An Isosceles Trapezoid means a trapezoid with the pair of non parallel edges are equal. The parallel pair of edges are called bases and the pair of non parallel equal edges are called lateral edges. The angles on the long base are equal acute angles and the angles on the short base are equal obtuse angles. Also, the pair of opposite angles are supplementary to each other. And hence an Isosceles Trapezoid is cyclic.

How to Calculate Circumradius of Isosceles Trapezoid given Diagonal and Height?

Circumradius of Isosceles Trapezoid given Diagonal and Height calculator uses Circumradius of Isosceles Trapezoid = (Lateral Edge of Isosceles Trapezoid*Diagonal of Isosceles Trapezoid)/(2*Height of Isosceles Trapezoid) to calculate the Circumradius of Isosceles Trapezoid, Circumradius of Isosceles Trapezoid given Diagonal and Height formula is defined as the radius of the circumcircle of the Isosceles Trapezoid or radius of the circle that contains the shape with all vertices lies on the circle, and calculated using diagonal and height of the Isosceles Trapezoid. Circumradius of Isosceles Trapezoid is denoted by r_c symbol.

How to calculate Circumradius of Isosceles Trapezoid given Diagonal and Height using this online calculator? To use this online calculator for Circumradius of Isosceles Trapezoid given Diagonal and Height, enter Lateral Edge of Isosceles Trapezoid (l_e(Lateral)), Diagonal of Isosceles Trapezoid (d) & Height of Isosceles Trapezoid (h) and hit the calculate button. Here is how the Circumradius of Isosceles Trapezoid given Diagonal and Height calculation can be explained with given input values -> 8.125 = (5*13)/(2*4).

FAQ

What is Circumradius of Isosceles Trapezoid given Diagonal and Height?

Circumradius of Isosceles Trapezoid given Diagonal and Height formula is defined as the radius of the circumcircle of the Isosceles Trapezoid or radius of the circle that contains the shape with all vertices lies on the circle, and calculated using diagonal and height of the Isosceles Trapezoid and is represented as r_c = (l_e(Lateral)*d)/(2*h) or Circumradius of Isosceles Trapezoid = (Lateral Edge of Isosceles Trapezoid*Diagonal of Isosceles Trapezoid)/(2*Height of Isosceles Trapezoid). Lateral Edge of Isosceles Trapezoid is the length of the pair of opposite and non parallel edges of the Isosceles Trapezoid, Diagonal of Isosceles Trapezoid is the length of the line joining any pair of opposite corners of the Isosceles Trapezoid & Height of Isosceles Trapezoid is the perpendicular distance between the pair of parallel base edges of the Isosceles Trapezoid.

How to calculate Circumradius of Isosceles Trapezoid given Diagonal and Height?

Circumradius of Isosceles Trapezoid given Diagonal and Height formula is defined as the radius of the circumcircle of the Isosceles Trapezoid or radius of the circle that contains the shape with all vertices lies on the circle, and calculated using diagonal and height of the Isosceles Trapezoid is calculated using Circumradius of Isosceles Trapezoid = (Lateral Edge of Isosceles Trapezoid*Diagonal of Isosceles Trapezoid)/(2*Height of Isosceles Trapezoid). To calculate Circumradius of Isosceles Trapezoid given Diagonal and Height, you need Lateral Edge of Isosceles Trapezoid (l_e(Lateral)), Diagonal of Isosceles Trapezoid (d) & Height of Isosceles Trapezoid (h). With our tool, you need to enter the respective value for Lateral Edge of Isosceles Trapezoid, Diagonal of Isosceles Trapezoid & Height of Isosceles Trapezoid 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 Circumradius of Isosceles Trapezoid?

In this formula, Circumradius of Isosceles Trapezoid uses Lateral Edge of Isosceles Trapezoid, Diagonal of Isosceles Trapezoid & Height of Isosceles Trapezoid. We can use 2 other way(s) to calculate the same, which is/are as follows -

Circumradius of Isosceles Trapezoid = (Lateral Edge of Isosceles Trapezoid*sqrt((Long Base of Isosceles Trapezoid*Short Base of Isosceles Trapezoid)+Lateral Edge of Isosceles Trapezoid^2))/sqrt((4*Lateral Edge of Isosceles Trapezoid^2)-(Long Base of Isosceles Trapezoid-Short Base of Isosceles Trapezoid)^2)
Circumradius of Isosceles Trapezoid = Diagonal of Isosceles Trapezoid*sqrt(Diagonal of Isosceles Trapezoid^2-(Long Base of Isosceles Trapezoid*Short Base of Isosceles Trapezoid))/sqrt((4*Diagonal of Isosceles Trapezoid^2)-(Long Base of Isosceles Trapezoid+Short Base of Isosceles Trapezoid)^2)

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