Created by Jaseem K
IIT Madras (IIT Madras), Chennai
Jaseem K has created this Calculator and 100+ more calculators!
Verified by Nayana Phulphagar
Institute of chartered and financial Analysts of India National college (ICFAI National college), HUBLI
Nayana Phulphagar has verified this Calculator and 25+ more calculators!

Area of Circumcircle of Scalene Triangle given shorter side and smaller angle Solution

STEP 0: Pre-Calculation Summary
Formula Used
Area of Scalene Triangle = (pi/4)*((Shorter side of Scalene Triangle/sin(Smaller angle of Scalene Triangle))^2)
AScalene Triangle = (pi/4)*((SShorter/sin(∠ASmaller))^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
Shorter side of Scalene Triangle - Shorter side of Scalene Triangle is the length of the shorter side out of the three sides. In other words, shorter side of Scalene Triangle is the side opposite to the smaller angle. (Measured in Meter)
Smaller angle of Scalene Triangle - 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. (Measured in Degree)
STEP 1: Convert Input(s) to Base Unit
Shorter side of Scalene Triangle: 9 Meter --> 9 Meter No Conversion Required
Smaller angle of Scalene Triangle: 50 Degree --> 0.872664625997001 Radian (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
AScalene Triangle = (pi/4)*((SShorter/sin(∠ASmaller))^2) --> (pi/4)*((9/sin(0.872664625997001))^2)
Evaluating ... ...
AScalene Triangle = 108.409406576465
STEP 3: Convert Result to Output's Unit
108.409406576465 Square Meter --> No Conversion Required
FINAL ANSWER
108.409406576465 Square Meter <-- Area of Scalene Triangle
(Calculation completed in 00.015 seconds)

3 Area of Circumcircle of Scalene Triangle Calculators

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

Area of Circumcircle of Scalene Triangle given shorter side and smaller angle Formula

Area of Scalene Triangle = (pi/4)*((Shorter side of Scalene Triangle/sin(Smaller angle of Scalene Triangle))^2)
AScalene Triangle = (pi/4)*((SShorter/sin(∠ASmaller))^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 Scalene Triangle = (pi/4)*((Shorter side of Scalene Triangle/sin(Smaller angle of Scalene Triangle))^2) to calculate the Area of Scalene Triangle, The Area of Circumcircle of Scalene Triangle given shorter side and smaller 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 shorter side and smaller angle. Area of Scalene Triangle is denoted by AScalene Triangle 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 (SShorter) & Smaller angle of Scalene Triangle (∠ASmaller) 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 -> 108.4094 = (pi/4)*((9/sin(0.872664625997001))^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 quantity of total plane enclosed by the boundary of Circumcircle of the given Scalene Triangle, and found by using shorter side and smaller angle and is represented as AScalene Triangle = (pi/4)*((SShorter/sin(∠ASmaller))^2) or Area 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 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 quantity of total plane enclosed by the boundary of Circumcircle of the given Scalene Triangle, and found by using shorter side and smaller angle is calculated using Area 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 (SShorter) & Smaller angle of Scalene Triangle (∠ASmaller). 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 Scalene Triangle?
In this formula, Area 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 Scalene Triangle = (pi/4)*((Medium side of Scalene Triangle/sin(Medium angle of Scalene Triangle))^2)
  • Area of Scalene Triangle = (pi/4)*((Longer side of Scalene Triangle/sin(Larger angle of Scalene Triangle))^2)
Share Image
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!