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Area of Circumcircle of Scalene Triangle given longer side and larger angle Calculator

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Scalene triangleCircumcircle of Scalene Triangle ↺
Circumcircle of Scalene TriangleArea of Circumcircle of Scalene Triangle ↺
✖Longer side of Scalene Triangle is the length of the longer side out of the three sides. In other way, longer side of Scalene Triangle is the side opposite to the larger angle.ⓘ Longer side of Scalene Triangle [Slonger_scalene]
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✖Larger angle of Scalene Triangle is the measure of wideness of sides that join to form the corner which is opposite to the longer side of the Scalene Triangle.ⓘ Larger angle of Scalene Triangle [∠Alarger_scalene]
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✖The area is the amount of two-dimensional space taken up by an object.ⓘ Area of Circumcircle of Scalene Triangle given longer side and larger angle [A]
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Credits

Jaseem K
IIT Madras (IIT Madras), Chennai
Jaseem K has created this Calculator and 100+ more calculators!
Nayana Phulphagar
Institute of chartered and financial Analysts of India National college (ICFAI National college), HUBLI
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Area of Circumcircle of Scalene Triangle given longer side and larger angle Solution

STEP 0: Pre-Calculation Summary
Formula Used
Area = (pi/4)*((Longer side of Scalene Triangle/sin(Larger angle of Scalene Triangle))^2)
A = (pi/4)*((Slonger_scalene/sin(∠Alarger_scalene))^2)
This formula uses 1 Constants, 1 Functions, 2 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Functions Used
sin - Trigonometric sine function, sin(Angle)
Variables Used
Longer side of Scalene Triangle - Longer side of Scalene Triangle is the length of the longer side out of the three sides. In other way, longer side of Scalene Triangle is the side opposite to the larger angle. (Measured in Meter)
Larger angle of Scalene Triangle - Larger angle of Scalene Triangle is the measure of wideness of sides that join to form the corner which is opposite to the longer side of the Scalene Triangle. (Measured in Degree)
STEP 1: Convert Input(s) to Base Unit
Longer side of Scalene Triangle: 11 Meter --> 11 Meter No Conversion Required
Larger angle of Scalene Triangle: 70.5288 Degree --> 1.23095977748035 Radian (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
A = (pi/4)*((Slonger_scalene/sin(∠Alarger_scalene))^2) --> (pi/4)*((11/sin(1.23095977748035))^2)
Evaluating ... ...
A = 106.91229776651
STEP 3: Convert Result to Output's Unit
106.91229776651 Square Meter --> No Conversion Required
FINAL ANSWER
106.91229776651 Square Meter <-- Area
(Calculation completed in 00.000 seconds)
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3 Area of Circumcircle of Scalene Triangle Calculators

Area of Circumcircle of Scalene Triangle given shorter side and smaller angle
Area = (pi/4)*((Shorter side of Scalene Triangle/sin(Smaller angle of Scalene Triangle))^2) Go
Area of Circumcircle of Scalene Triangle given medium side and medium angle
Area = (pi/4)*((Medium side of Scalene Triangle/sin(Medium angle of Scalene Triangle))^2) Go
Area of Circumcircle of Scalene Triangle given longer side and larger angle
Area = (pi/4)*((Longer side of Scalene Triangle/sin(Larger angle of Scalene Triangle))^2) Go

Area of Circumcircle of Scalene Triangle given longer side and larger angle Formula

Area = (pi/4)*((Longer side of Scalene Triangle/sin(Larger angle of Scalene Triangle))^2)
A = (pi/4)*((Slonger_scalene/sin(∠Alarger_scalene))^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 longer side and larger angle?

Area of Circumcircle of Scalene Triangle given longer side and larger angle calculator uses Area = (pi/4)*((Longer side of Scalene Triangle/sin(Larger angle of Scalene Triangle))^2) to calculate the Area, The Area of Circumcircle of Scalene Triangle given longer side and larger angle formula is defined as the quantity of total plane enclosed by the boundary of Circumcircle of the given Scalene Triangle, and found by using longer side and larger angle. Area is denoted by A symbol.

How to calculate Area of Circumcircle of Scalene Triangle given longer side and larger angle using this online calculator? To use this online calculator for Area of Circumcircle of Scalene Triangle given longer side and larger angle, enter Longer side of Scalene Triangle (Slonger_scalene) & Larger angle of Scalene Triangle (∠Alarger_scalene) and hit the calculate button. Here is how the Area of Circumcircle of Scalene Triangle given longer side and larger angle calculation can be explained with given input values -> 106.9123 = (pi/4)*((11/sin(1.23095977748035))^2).

FAQ

What is Area of Circumcircle of Scalene Triangle given longer side and larger angle?
The Area of Circumcircle of Scalene Triangle given longer side and larger angle formula is defined as the quantity of total plane enclosed by the boundary of Circumcircle of the given Scalene Triangle, and found by using longer side and larger angle and is represented as A = (pi/4)*((Slonger_scalene/sin(∠Alarger_scalene))^2) or Area = (pi/4)*((Longer side of Scalene Triangle/sin(Larger angle of Scalene Triangle))^2). Longer side of Scalene Triangle is the length of the longer side out of the three sides. In other way, longer side of Scalene Triangle is the side opposite to the larger angle & Larger angle of Scalene Triangle is the measure of wideness of sides that join to form the corner which is opposite to the longer side of the Scalene Triangle.
How to calculate Area of Circumcircle of Scalene Triangle given longer side and larger angle?
The Area of Circumcircle of Scalene Triangle given longer side and larger angle formula is defined as the quantity of total plane enclosed by the boundary of Circumcircle of the given Scalene Triangle, and found by using longer side and larger angle is calculated using Area = (pi/4)*((Longer side of Scalene Triangle/sin(Larger angle of Scalene Triangle))^2). To calculate Area of Circumcircle of Scalene Triangle given longer side and larger angle, you need Longer side of Scalene Triangle (Slonger_scalene) & Larger angle of Scalene Triangle (∠Alarger_scalene). With our tool, you need to enter the respective value for Longer side of Scalene Triangle & Larger 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?
In this formula, Area uses Longer side of Scalene Triangle & Larger angle of Scalene Triangle. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Area = (pi/4)*((Shorter side of Scalene Triangle/sin(Smaller angle of Scalene Triangle))^2)
  • Area = (pi/4)*((Medium side of Scalene Triangle/sin(Medium angle of Scalene Triangle))^2)
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