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

✖Shorter Side of Scalene Triangle is the length of the shorter side out of the three sides. In other words, shorter side of the Scalene Triangle is the side opposite to the smaller angle.ⓘ Shorter Side of Scalene Triangle [S_Shorter]			+10% -10%
✖The Smaller Angle of Scalene Triangle is the measure of the wideness of sides that join to form the corner opposite the shorter side of the Scalene Triangle.ⓘ Smaller Angle of Scalene Triangle [∠_Smaller]			+10% -10%

✖Area of Circumcircle of Scalene Triangle is the total space or region occupied by the circumcircle of the Scalene Triangle.ⓘ Area of Circumcircle of Scalene Triangle given Shorter Side and Smaller Angle [A_Circumcircle]

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

STEP 0: Pre-Calculation Summary

Formula Used

Area of Circumcircle of Scalene Triangle = pi/4*(Shorter Side of Scalene Triangle/sin(Smaller Angle of Scalene Triangle))^2
A_Circumcircle = pi/4*(S_Shorter/sin(∠_Smaller))^2
This formula uses 1 Constants, 1 Functions, 3 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Functions Used

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., sin(Angle)

Variables Used

Area of Circumcircle of Scalene Triangle - (Measured in Square Meter) - Area of Circumcircle of Scalene Triangle is the total space or region occupied by the circumcircle of the Scalene Triangle.
Shorter Side of Scalene Triangle - (Measured in Meter) - Shorter Side of Scalene Triangle is the length of the shorter side out of the three sides. In other words, shorter side of the Scalene Triangle is the side opposite to the smaller angle.
Smaller Angle of Scalene Triangle - (Measured in Radian) - The Smaller Angle of Scalene Triangle is the measure of the wideness of sides that join to form the corner opposite the shorter side of the Scalene Triangle.

STEP 1: Convert Input(s) to Base Unit

Shorter Side of Scalene Triangle: 10 Meter --> 10 Meter No Conversion Required
Smaller Angle of Scalene Triangle: 30 Degree --> 0.5235987755982 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

A_Circumcircle = pi/4*(S_Shorter/sin(∠_Smaller))^2 --> pi/4*(10/sin(0.5235987755982))^2

Evaluating ... ...

A_Circumcircle = 314.159265358979

STEP 3: Convert Result to Output's Unit

314.159265358979 Square Meter --> No Conversion Required

FINAL ANSWER

314.159265358979 ≈ 314.1593 Square Meter <-- Area of Circumcircle of Scalene Triangle

(Calculation completed in 00.004 seconds)

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< Area of Circumcircle of Scalene Triangle Calculators

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

LaTeX Go Area of Circumcircle of Scalene Triangle = pi/4*(Shorter Side of Scalene Triangle/sin(Smaller Angle of Scalene Triangle))^2

Area of Circumcircle of Scalene Triangle given Medium Side and Medium Angle

LaTeX Go Area of Circumcircle of Scalene Triangle = pi/4*(Medium Side of Scalene Triangle/sin(Medium Angle of Scalene Triangle))^2

Area of Circumcircle of Scalene Triangle given Longer Side and Larger Angle

LaTeX Go Area of Circumcircle of Scalene Triangle = pi/4*(Longer Side of Scalene Triangle/sin(Larger Angle of Scalene Triangle))^2

< Circumcircle of Scalene Triangle Calculators

Circumradius of Scalene Triangle

LaTeX Go 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))

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

LaTeX Go Circumference of Circumcircle of Scalene Triangle = pi*Medium Side of Scalene Triangle/sin(Medium Angle of Scalene Triangle)

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

LaTeX Go Area of Circumcircle of Scalene Triangle = pi/4*(Shorter Side of Scalene Triangle/sin(Smaller Angle of Scalene Triangle))^2

Circumradius of Scalene Triangle given Longer Side and Larger Angle

LaTeX Go Circumradius of Scalene Triangle = Longer Side of Scalene Triangle/(2*sin(Larger Angle of Scalene Triangle))

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

LaTeX Go

Area of Circumcircle of Scalene Triangle = pi/4*(Shorter Side of Scalene Triangle/sin(Smaller Angle of Scalene Triangle))^2
A_Circumcircle = pi/4*(S_Shorter/sin(∠_Smaller))^2

Circumcircle and Circumradius of Scalene Triangle

For any Triangle (even if it is not a Scalene Triangle), there exists a unique Circle which passes through all the three vertices of the Triangle. Such a circle is called the Circumcircle of the given Triangle. Then the radius of the Circumcircle is called the Circumradius.

What is a Scalene Triangle?

A triangle with all sides distinct in length is called a Scalene Triangle. Mainly triangles are classified into three on the basis of side lengths. If all sides are equal in length then it is called Equilateral Triangle. If only two sides are equal in length then it is called Isosceles Triangle. If no sides are equal, or all sides are distinct in length then it is called Scalene Triangle. Cases are similar in terms of angles also. That is, Equilateral Triangles have all three angles equal. Isosceles Triangles have atleast two angles are equal. And then, Scalene Triangles have all three angles are distinct.

How to Calculate Area of Circumcircle of Scalene Triangle given Shorter Side and Smaller Angle?

Area of Circumcircle of Scalene Triangle given Shorter Side and Smaller Angle calculator uses Area of Circumcircle of Scalene Triangle = pi/4*(Shorter Side of Scalene Triangle/sin(Smaller Angle of Scalene Triangle))^2 to calculate the Area of Circumcircle of Scalene Triangle, The Area of Circumcircle of Scalene Triangle given Shorter Side and Smaller Angle formula is defined as the total space or region occupied by the circumcircle of the Scalene Triangle, calculated using its shorter side and smaller angle. Area of Circumcircle of Scalene Triangle is denoted by A_Circumcircle symbol.

How to calculate Area of Circumcircle of Scalene Triangle given Shorter Side and Smaller Angle using this online calculator? To use this online calculator for Area of Circumcircle of Scalene Triangle given Shorter Side and Smaller Angle, enter Shorter Side of Scalene Triangle (S_Shorter) & Smaller Angle of Scalene Triangle (∠_Smaller) and hit the calculate button. Here is how the Area of Circumcircle of Scalene Triangle given Shorter Side and Smaller Angle calculation can be explained with given input values -> 314.1593 = pi/4*(10/sin(0.5235987755982))^2.

FAQ

What is Area of Circumcircle of Scalene Triangle given Shorter Side and Smaller Angle?

The Area of Circumcircle of Scalene Triangle given Shorter Side and Smaller Angle formula is defined as the total space or region occupied by the circumcircle of the Scalene Triangle, calculated using its shorter side and smaller angle and is represented as A_Circumcircle = pi/4*(S_Shorter/sin(∠_Smaller))^2 or Area of Circumcircle of Scalene Triangle = pi/4*(Shorter Side of Scalene Triangle/sin(Smaller Angle of Scalene Triangle))^2. Shorter Side of Scalene Triangle is the length of the shorter side out of the three sides. In other words, shorter side of the Scalene Triangle is the side opposite to the smaller angle & The Smaller Angle of Scalene Triangle is the measure of the wideness of sides that join to form the corner opposite the shorter side of the Scalene Triangle.

How to calculate Area of Circumcircle of Scalene Triangle given Shorter Side and Smaller Angle?

The Area of Circumcircle of Scalene Triangle given Shorter Side and Smaller Angle formula is defined as the total space or region occupied by the circumcircle of the Scalene Triangle, calculated using its shorter side and smaller angle is calculated using Area of Circumcircle of Scalene Triangle = pi/4*(Shorter Side of Scalene Triangle/sin(Smaller Angle of Scalene Triangle))^2. To calculate Area of Circumcircle of Scalene Triangle given Shorter Side and Smaller Angle, you need Shorter Side of Scalene Triangle (S_Shorter) & Smaller Angle of Scalene Triangle (∠_Smaller). With our tool, you need to enter the respective value for Shorter Side of Scalene Triangle & Smaller Angle of Scalene Triangle 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 Area of Circumcircle of Scalene Triangle?

In this formula, Area of Circumcircle of Scalene Triangle uses Shorter Side of Scalene Triangle & Smaller Angle of Scalene Triangle. We can use 2 other way(s) to calculate the same, which is/are as follows -

Area of Circumcircle of Scalene Triangle = pi/4*(Medium Side of Scalene Triangle/sin(Medium Angle of Scalene Triangle))^2
Area of Circumcircle of Scalene Triangle = pi/4*(Longer Side of Scalene Triangle/sin(Larger Angle of Scalene Triangle))^2

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