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Area of Triangle given Circumradius and Sides Formula

GoArea of Triangle by Heron's Formula Formula

GoArea of Triangle given Base and Height Formula

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The Area of Triangle is the amount of region or space occupied by the Triangle. Check FAQs

A = \frac{S a \cdot S b \cdot S c}{4 \cdot r c}

A - Area of Triangle?S_a - Side A of Triangle?S_b - Side B of Triangle?S_c - Side C of Triangle?r_c - Circumradius of Triangle?

Area of Triangle given Circumradius and Sides Example

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Here is how the Area of Triangle given Circumradius and Sides equation looks like with Values.

Here is how the Area of Triangle given Circumradius and Sides equation looks like with Units.

Here is how the Area of Triangle given Circumradius and Sides equation looks like.

63.6364 = \frac{10 \cdot 14 \cdot 20}{4 \cdot 11}

63.6364m² = \frac{10m \cdot 14m \cdot 20m}{4 \cdot 11m}

63.6364 = \frac{10 \cdot 14 \cdot 20}{4 \cdot 11}

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Area of Triangle given Circumradius and Sides Solution

Follow our step by step solution on how to calculate Area of Triangle given Circumradius and Sides?

FIRST Step Consider the formula

A = \frac{S a \cdot S b \cdot S c}{4 \cdot r c}

Next Step Substitute values of Variables

∴

A = \frac{10m \cdot 14m \cdot 20m}{4 \cdot 11m}

Next Step Prepare to Evaluate

∴

A = \frac{10 \cdot 14 \cdot 20}{4 \cdot 11}

Next Step Evaluate

∴

A = 63.6363636363636m²

LAST Step Rounding Answer

∴

A = 63.6364m²

Area of Triangle given Circumradius and Sides Formula Elements

Variables

Area of Triangle

The Area of Triangle is the amount of region or space occupied by the Triangle.

Symbol: A

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Area of Triangle

Side A of Triangle

The Side A of Triangle is the length of the side A, of the three sides of the triangle. In other words, the side A of the Triangle is the side opposite to the angle A.

Symbol: S_a

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Side A of Triangle

Side B of Triangle

The Side B of Triangle is the length of the side B of the three sides. In other words, the side Bof the Triangle is the side opposite to the angle B.

Symbol: S_b

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Side B of Triangle

Side C of Triangle

The Side C of Triangle is the length of the side C of the three sides. In other words, side C of the Triangle is the side opposite to angle C.

Symbol: S_c

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Side C of Triangle

Circumradius of Triangle

Circumradius of Triangle is the radius of a circumcircle touching each of the vertices of the Triangle.

Symbol: r_c

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Circumradius of Triangle

Other Formulas to find Area of Triangle

Go Area of Triangle by Heron's Formula

A = \sqrt{s \cdot (s - S a) \cdot (s - S b) \cdot (s - S c)}

Go Area of Triangle given Base and Height

A = \frac{1}{2} \cdot S c \cdot h c

Go Area of Triangle

A = \frac{\sqrt{(S a + S b + S c) \cdot (S b + S c - S a) \cdot (S a - S b + S c) \cdot (S a + S b - S c)}}{4}

Go Area of Triangle given Two Angles and Third Side

A = \frac{{S a}^{2} \cdot \sin (∠B) \cdot \sin (∠C)}{2 \cdot \sin (π - ∠B - ∠C)}

How to Evaluate Area of Triangle given Circumradius and Sides?

Area of Triangle given Circumradius and Sides evaluator uses Area of Triangle = (Side A of Triangle*Side B of Triangle*Side C of Triangle)/(4*Circumradius of Triangle) to evaluate the Area of Triangle, The Area of Triangle given Circumradius and Sides formula is defined as the total region that is enclosed by the three sides of any particular triangle, calculated using its circumradius and sides. Area of Triangle is denoted by A symbol.

How to evaluate Area of Triangle given Circumradius and Sides using this online evaluator? To use this online evaluator for Area of Triangle given Circumradius and Sides, enter Side A of Triangle (S_a), Side B of Triangle (S_b), Side C of Triangle (S_c) & Circumradius of Triangle (r_c) and hit the calculate button.

FAQs on Area of Triangle given Circumradius and Sides

What is the formula to find Area of Triangle given Circumradius and Sides?

The formula of Area of Triangle given Circumradius and Sides is expressed as Area of Triangle = (Side A of Triangle*Side B of Triangle*Side C of Triangle)/(4*Circumradius of Triangle). Here is an example- 63.63636 = (10*14*20)/(4*11).

How to calculate Area of Triangle given Circumradius and Sides?

With Side A of Triangle (S_a), Side B of Triangle (S_b), Side C of Triangle (S_c) & Circumradius of Triangle (r_c) we can find Area of Triangle given Circumradius and Sides using the formula - Area of Triangle = (Side A of Triangle*Side B of Triangle*Side C of Triangle)/(4*Circumradius of Triangle).

What are the other ways to Calculate Area of Triangle?

Here are the different ways to Calculate Area of Triangle-

Area of Triangle=sqrt(Semiperimeter of Triangle*(Semiperimeter of Triangle-Side A of Triangle)*(Semiperimeter of Triangle-Side B of Triangle)*(Semiperimeter of Triangle-Side C of Triangle))
Area of Triangle=1/2*Side C of Triangle*Height on Side C of Triangle
Area of Triangle=sqrt((Side A of Triangle+Side B of Triangle+Side C of Triangle)*(Side B of Triangle+Side C of Triangle-Side A of Triangle)*(Side A of Triangle-Side B of Triangle+Side C of Triangle)*(Side A of Triangle+Side B of Triangle-Side C of Triangle))/4

Can the Area of Triangle given Circumradius and Sides be negative?

No, the Area of Triangle given Circumradius and Sides, measured in Area cannot be negative.

Which unit is used to measure Area of Triangle given Circumradius and Sides?

Area of Triangle given Circumradius and Sides is usually measured using the Square Meter[m²] for Area. Square Kilometer[m²], Square Centimeter[m²], Square Millimeter[m²] are the few other units in which Area of Triangle given Circumradius and Sides can be measured.

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: Value
: Unit

Area of Triangle given Circumradius and Sides Formula

​GoArea of Triangle by Heron's Formula Formula

​GoArea of Triangle given Base and Height Formula

Area of Triangle given Circumradius and Sides Example

Area of Triangle given Circumradius and Sides Solution

Area of Triangle given Circumradius and Sides Formula Elements

Other Formulas to find Area of Triangle

How to Evaluate Area of Triangle given Circumradius and Sides?

FAQs on Area of Triangle given Circumradius and Sides

Variable Name

GoArea of Triangle by Heron's Formula Formula

GoArea of Triangle given Base and Height Formula