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Circumradius of Scalene Triangle given Longer Side and Larger Angle Formula

GoCircumradius of Scalene Triangle Formula

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The Circumradius of Scalene Triangle is the radius of a circumcircle touching each of the vertices of the Scalene Triangle. Check FAQs

r c = \frac{S Longer}{2 \cdot \sin (∠ Larger)}

r_c - Circumradius of Scalene Triangle?S_Longer - Longer Side of Scalene Triangle?∠_Larger - Larger Angle of Scalene Triangle?

Circumradius of Scalene Triangle given Longer Side and Larger Angle Example

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Here is how the Circumradius of Scalene Triangle given Longer Side and Larger Angle equation looks like with Values.

Here is how the Circumradius of Scalene Triangle given Longer Side and Larger Angle equation looks like with Units.

Here is how the Circumradius of Scalene Triangle given Longer Side and Larger Angle equation looks like.

10.6418 = \frac{20}{2 \cdot \sin (110)}

10.6418m = \frac{20m}{2 \cdot \sin (110°)}

10.6418 = \frac{20}{2 \cdot \sin (110)}

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Circumradius of Scalene Triangle given Longer Side and Larger Angle Solution

Follow our step by step solution on how to calculate Circumradius of Scalene Triangle given Longer Side and Larger Angle?

FIRST Step Consider the formula

r c = \frac{S Longer}{2 \cdot \sin (∠ Larger)}

Next Step Substitute values of Variables

∴

r c = \frac{20m}{2 \cdot \sin (110°)}

Next Step Convert Units

∴

r c = \frac{20m}{2 \cdot \sin (1.9199rad)}

Next Step Prepare to Evaluate

∴

r c = \frac{20}{2 \cdot \sin (1.9199)}

Next Step Evaluate

∴

r c = 10.6417777247577m

LAST Step Rounding Answer

∴

r c = 10.6418m

Circumradius of Scalene Triangle given Longer Side and Larger Angle Formula Elements

Variables

Functions

Circumradius of Scalene Triangle

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

Symbol: r_c

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Circumradius of Scalene Triangle

Longer Side of Scalene Triangle

The Longer Side of Scalene Triangle is the length of the longer side out of the three sides. In other words, the longer side of the Scalene Triangle is the side opposite to the larger angle.

Symbol: S_Longer

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Longer Side of Scalene Triangle

Larger Angle of Scalene Triangle

Larger Angle of Scalene Triangle is the measure of wideness of sides which join to form the corner which is opposite to the longer side of the Scalene Triangle.

Symbol: ∠_Larger

Measurement: AngleUnit: °

Note: Value should be between 60 to 180.

Formulas to find Larger Angle of Scalene Triangle

sin

Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse.

Syntax: sin(Angle)

Other Formulas to find Circumradius of Scalene Triangle

Go Circumradius of Scalene Triangle

r c = \frac{S Longer \cdot S Medium \cdot S Shorter}{\sqrt{(S Longer + S Medium + S Shorter) \cdot (S Longer + S Medium - S Shorter) \cdot (S Longer + S Shorter - S Medium) \cdot (S Medium + S Shorter - S Longer)}}

Other formulas in Circumradius of Scalene Triangle category

Go Area of Circumcircle of Scalene Triangle given Shorter Side and Smaller Angle

A Circumcircle = \frac{π}{4} \cdot {(\frac{S Shorter}{\sin (∠ Smaller)})}^{2}

Go Circumference of Circumcircle of Scalene Triangle given Medium Side and Medium Angle

C Circumcircle = π \cdot \frac{S Medium}{\sin (∠ Medium)}

How to Evaluate Circumradius of Scalene Triangle given Longer Side and Larger Angle?

Circumradius of Scalene Triangle given Longer Side and Larger Angle evaluator uses Circumradius of Scalene Triangle = Longer Side of Scalene Triangle/(2*sin(Larger Angle of Scalene Triangle)) to evaluate the Circumradius of Scalene Triangle, The Circumradius of Scalene Triangle given Longer Side and Larger Angle formula is defined as the radius of a circumcircle touching each of the vertices of the Scalene Triangle, calculated using longer side and larger angle of the Scalene Triangle. Circumradius of Scalene Triangle is denoted by r_c symbol.

How to evaluate Circumradius of Scalene Triangle given Longer Side and Larger Angle using this online evaluator? To use this online evaluator for Circumradius of Scalene Triangle given Longer Side and Larger Angle, enter Longer Side of Scalene Triangle (S_Longer) & Larger Angle of Scalene Triangle (∠_Larger) and hit the calculate button.

FAQs on Circumradius of Scalene Triangle given Longer Side and Larger Angle

What is the formula to find Circumradius of Scalene Triangle given Longer Side and Larger Angle?

The formula of Circumradius of Scalene Triangle given Longer Side and Larger Angle is expressed as Circumradius of Scalene Triangle = Longer Side of Scalene Triangle/(2*sin(Larger Angle of Scalene Triangle)). Here is an example- 10.64178 = 20/(2*sin(1.9198621771934)).

How to calculate Circumradius of Scalene Triangle given Longer Side and Larger Angle?

With Longer Side of Scalene Triangle (S_Longer) & Larger Angle of Scalene Triangle (∠_Larger) we can find Circumradius of Scalene Triangle given Longer Side and Larger Angle using the formula - Circumradius of Scalene Triangle = Longer Side of Scalene Triangle/(2*sin(Larger Angle of Scalene Triangle)). This formula also uses Sine (sin) function(s).

What are the other ways to Calculate Circumradius of Scalene Triangle?

Here are the different ways to Calculate Circumradius of Scalene Triangle-

Circumradius of Scalene Triangle=(Longer Side of Scalene Triangle*Medium Side of Scalene Triangle*Shorter Side of Scalene Triangle)/sqrt((Longer Side of Scalene Triangle+Medium Side of Scalene Triangle+Shorter Side of Scalene Triangle)*(Longer Side of Scalene Triangle+Medium Side of Scalene Triangle-Shorter Side of Scalene Triangle)*(Longer Side of Scalene Triangle+Shorter Side of Scalene Triangle-Medium Side of Scalene Triangle)*(Medium Side of Scalene Triangle+Shorter Side of Scalene Triangle-Longer Side of Scalene Triangle))

Can the Circumradius of Scalene Triangle given Longer Side and Larger Angle be negative?

No, the Circumradius of Scalene Triangle given Longer Side and Larger Angle, measured in Length cannot be negative.

Which unit is used to measure Circumradius of Scalene Triangle given Longer Side and Larger Angle?

Circumradius of Scalene Triangle given Longer Side and Larger Angle is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Circumradius of Scalene Triangle given Longer Side and Larger Angle can be measured.

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