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Circumradius of Isosceles Trapezoid given Diagonal and Height Formula

GoCircumradius of Isosceles Trapezoid Formula

GoCircumradius of Isosceles Trapezoid given Diagonal Formula

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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. Check FAQs

r c = \frac{l e(Lateral) \cdot d}{2 \cdot h}

r_c - Circumradius of Isosceles Trapezoid?l_e(Lateral) - Lateral Edge of Isosceles Trapezoid?d - Diagonal of Isosceles Trapezoid?h - Height of Isosceles Trapezoid?

Circumradius of Isosceles Trapezoid given Diagonal and Height Example

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Here is how the Circumradius of Isosceles Trapezoid given Diagonal and Height equation looks like with Units.

Here is how the Circumradius of Isosceles Trapezoid given Diagonal and Height equation looks like.

8.125 = \frac{5 \cdot 13}{2 \cdot 4}

8.125m = \frac{5m \cdot 13m}{2 \cdot 4m}

8.125 = \frac{5 \cdot 13}{2 \cdot 4}

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Circumradius of Isosceles Trapezoid given Diagonal and Height Solution

Follow our step by step solution on how to calculate Circumradius of Isosceles Trapezoid given Diagonal and Height?

FIRST Step Consider the formula

r c = \frac{l e(Lateral) \cdot d}{2 \cdot h}

Next Step Substitute values of Variables

∴

r c = \frac{5m \cdot 13m}{2 \cdot 4m}

Next Step Prepare to Evaluate

∴

r c = \frac{5 \cdot 13}{2 \cdot 4}

LAST Step Evaluate

∴

r c = 8.125m

Circumradius of Isosceles Trapezoid given Diagonal and Height Formula Elements

Variables

Circumradius of Isosceles Trapezoid

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.

Symbol: r_c

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Circumradius of Isosceles Trapezoid

Lateral Edge of Isosceles Trapezoid

Lateral Edge of Isosceles Trapezoid is the length of the pair of opposite and non parallel edges of the Isosceles Trapezoid.

Symbol: l_e(Lateral)

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Lateral Edge of Isosceles Trapezoid

Diagonal of Isosceles Trapezoid

Diagonal of Isosceles Trapezoid is the length of the line joining any pair of opposite corners of the Isosceles Trapezoid.

Symbol: d

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Diagonal of Isosceles Trapezoid

Height of Isosceles Trapezoid

Height of Isosceles Trapezoid is the perpendicular distance between the pair of parallel base edges of the Isosceles Trapezoid.

Symbol: h

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Height of Isosceles Trapezoid

Other Formulas to find Circumradius of Isosceles Trapezoid

Go Circumradius of Isosceles Trapezoid

r c = \frac{l e(Lateral) \cdot \sqrt{(B Long \cdot B Short) + {l e(Lateral)}^{2}}}{\sqrt{(4 \cdot {l e(Lateral)}^{2}) - {(B Long - B Short)}^{2}}}

Go Circumradius of Isosceles Trapezoid given Diagonal

r c = d \cdot \frac{\sqrt{d^{2} - (B Long \cdot B Short)}}{\sqrt{(4 \cdot d^{2}) - {(B Long + B Short)}^{2}}}

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

Circumradius of Isosceles Trapezoid given Diagonal and Height evaluator uses Circumradius of Isosceles Trapezoid = (Lateral Edge of Isosceles Trapezoid*Diagonal of Isosceles Trapezoid)/(2*Height of Isosceles Trapezoid) to evaluate 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 evaluate Circumradius of Isosceles Trapezoid given Diagonal and Height using this online evaluator? To use this online evaluator 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.

FAQs on Circumradius of Isosceles Trapezoid given Diagonal and Height

What is the formula to find Circumradius of Isosceles Trapezoid given Diagonal and Height?

The formula of Circumradius of Isosceles Trapezoid given Diagonal and Height is expressed as Circumradius of Isosceles Trapezoid = (Lateral Edge of Isosceles Trapezoid*Diagonal of Isosceles Trapezoid)/(2*Height of Isosceles Trapezoid). Here is an example- 8.125 = (5*13)/(2*4).

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

With Lateral Edge of Isosceles Trapezoid (l_e(Lateral)), Diagonal of Isosceles Trapezoid (d) & Height of Isosceles Trapezoid (h) we can find Circumradius of Isosceles Trapezoid given Diagonal and Height using the formula - Circumradius of Isosceles Trapezoid = (Lateral Edge of Isosceles Trapezoid*Diagonal of Isosceles Trapezoid)/(2*Height of Isosceles Trapezoid).

What are the other ways to Calculate Circumradius of Isosceles Trapezoid?

Here are the different ways to Calculate Circumradius of Isosceles Trapezoid-

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)

Can the Circumradius of Isosceles Trapezoid given Diagonal and Height be negative?

No, the Circumradius of Isosceles Trapezoid given Diagonal and Height, measured in Length cannot be negative.

Which unit is used to measure Circumradius of Isosceles Trapezoid given Diagonal and Height?

Circumradius of Isosceles Trapezoid given Diagonal and Height is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Circumradius of Isosceles Trapezoid given Diagonal and Height can be measured.

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Circumradius of Isosceles Trapezoid given Diagonal and Height Formula

​GoCircumradius of Isosceles Trapezoid Formula

​GoCircumradius of Isosceles Trapezoid given Diagonal Formula

Circumradius of Isosceles Trapezoid given Diagonal and Height Example

Circumradius of Isosceles Trapezoid given Diagonal and Height Solution

Circumradius of Isosceles Trapezoid given Diagonal and Height Formula Elements

Other Formulas to find Circumradius of Isosceles Trapezoid

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

FAQs on Circumradius of Isosceles Trapezoid given Diagonal and Height

Variable Name

GoCircumradius of Isosceles Trapezoid Formula

GoCircumradius of Isosceles Trapezoid given Diagonal Formula