FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Circumradius of Isosceles Trapezoid Formula

GoCircumradius of Isosceles Trapezoid given Diagonal Formula

Fx Copy

LaTeX Copy

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

r_c - Circumradius of Isosceles Trapezoid?l_e(Lateral) - Lateral Edge of Isosceles Trapezoid?B_Long - Long Base of Isosceles Trapezoid?B_Short - Short Base of Isosceles Trapezoid?

Circumradius of Isosceles Trapezoid Example

With values

With units

Only example

Here is how the Circumradius of Isosceles Trapezoid equation looks like with Values.

Here is how the Circumradius of Isosceles Trapezoid equation looks like with Units.

Here is how the Circumradius of Isosceles Trapezoid equation looks like.

7.9057 = \frac{5 \cdot \sqrt{(15 \cdot 9) + 5^{2}}}{\sqrt{(4 \cdot 5^{2}) - {(15 - 9)}^{2}}}

7.9057m = \frac{5m \cdot \sqrt{(15m \cdot 9m) + {5m}^{2}}}{\sqrt{(4 \cdot {5m}^{2}) - {(15m - 9m)}^{2}}}

7.9057 = \frac{5 \cdot \sqrt{(15 \cdot 9) + 5^{2}}}{\sqrt{(4 \cdot 5^{2}) - {(15 - 9)}^{2}}}

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Math » Category

Geometry » Category

2D Geometry » fx Circumradius of Isosceles Trapezoid

Circumradius of Isosceles Trapezoid Solution

Follow our step by step solution on how to calculate Circumradius of Isosceles Trapezoid?

FIRST Step Consider the formula

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}}}

Next Step Substitute values of Variables

∴

r c = \frac{5m \cdot \sqrt{(15m \cdot 9m) + {5m}^{2}}}{\sqrt{(4 \cdot {5m}^{2}) - {(15m - 9m)}^{2}}}

Next Step Prepare to Evaluate

∴

r c = \frac{5 \cdot \sqrt{(15 \cdot 9) + 5^{2}}}{\sqrt{(4 \cdot 5^{2}) - {(15 - 9)}^{2}}}

Next Step Evaluate

∴

r c = 7.90569415042095m

LAST Step Rounding Answer

∴

r c = 7.9057m

Circumradius of Isosceles Trapezoid Formula Elements

Variables

Functions

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

Long Base of Isosceles Trapezoid

Long Base of Isosceles Trapezoid is the longer side among the pair of parallel sides of the Isosceles Trapezoid.

Symbol: B_Long

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Long Base of Isosceles Trapezoid

Short Base of Isosceles Trapezoid

Short Base of Isosceles Trapezoid is the shorter side among the pair of parallel sides of the Isosceles Trapezoid.

Symbol: B_Short

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Short Base of Isosceles Trapezoid

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.

Syntax: sqrt(Number)

Other Formulas to find Circumradius of Isosceles Trapezoid

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?

Circumradius of Isosceles Trapezoid evaluator uses 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) to evaluate the Circumradius of Isosceles Trapezoid, Circumradius of Isosceles Trapezoid 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. Circumradius of Isosceles Trapezoid is denoted by r_c symbol.

How to evaluate Circumradius of Isosceles Trapezoid using this online evaluator? To use this online evaluator for Circumradius of Isosceles Trapezoid, enter Lateral Edge of Isosceles Trapezoid (l_e(Lateral)), Long Base of Isosceles Trapezoid (B_Long) & Short Base of Isosceles Trapezoid (B_Short) and hit the calculate button.

FAQs on Circumradius of Isosceles Trapezoid

What is the formula to find Circumradius of Isosceles Trapezoid?

The formula of Circumradius of Isosceles Trapezoid is expressed as 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). Here is an example- 7.905694 = (5*sqrt((15*9)+5^2))/sqrt((4*5^2)-(15-9)^2).

How to calculate Circumradius of Isosceles Trapezoid?

With Lateral Edge of Isosceles Trapezoid (l_e(Lateral)), Long Base of Isosceles Trapezoid (B_Long) & Short Base of Isosceles Trapezoid (B_Short) we can find Circumradius of Isosceles Trapezoid using the formula - 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). This formula also uses Square Root (sqrt) function(s).

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=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 be negative?

No, the Circumradius of Isosceles Trapezoid, measured in Length cannot be negative.

Which unit is used to measure Circumradius of Isosceles Trapezoid?

Circumradius of Isosceles Trapezoid 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 can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit

Circumradius of Isosceles Trapezoid Formula

​GoCircumradius of Isosceles Trapezoid given Diagonal Formula

Circumradius of Isosceles Trapezoid Example

Circumradius of Isosceles Trapezoid Solution

Circumradius of Isosceles Trapezoid Formula Elements

Other Formulas to find Circumradius of Isosceles Trapezoid

How to Evaluate Circumradius of Isosceles Trapezoid?

FAQs on Circumradius of Isosceles Trapezoid

Variable Name

GoCircumradius of Isosceles Trapezoid given Diagonal Formula