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Reflex angle of Concave Quadrilateral Solution

STEP 0: Pre-Calculation Summary
Formula Used
angle = (2*pi)-Angle A-Angle B-Angle C
α = (2*pi)-∠A-∠B-∠C
This formula uses 1 Constants, 3 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
Angle A - The angle A the space between two intersecting lines or surfaces at or close to the point where they meet. (Measured in Degree)
Angle B - The angle B the space between two intersecting lines or surfaces at or close to the point where they meet. (Measured in Degree)
Angle C - The angle C is the space between two intersecting lines or surfaces at or close to the point where they meet. (Measured in Degree)
STEP 1: Convert Input(s) to Base Unit
Angle A: 30 Degree --> 0.5235987755982 Radian (Check conversion here)
Angle B: 45 Degree --> 0.785398163397301 Radian (Check conversion here)
Angle C: 220 Degree --> 3.8397243543868 Radian (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
α = (2*pi)-∠A-∠B-∠C --> (2*pi)-0.5235987755982-0.785398163397301-3.8397243543868
Evaluating ... ...
α = 1.13446401379729
STEP 3: Convert Result to Output's Unit
1.13446401379729 Radian -->65.0000000000679 Degree (Check conversion here)
FINAL ANSWER
65.0000000000679 Degree <-- Angle
(Calculation completed in 00.015 seconds)

7 Concave Quadrilateral Calculators

Area of Concave Quadrilateral
area = sqrt(((Outer side a+Inner Diagonal+Inner side d)/2)*((Outer side a+Inner Diagonal+Inner side d)/(2-Outer side a))*((Outer side a+Inner Diagonal+Inner side d)/(2-Inner Diagonal))*((Outer side a+Inner Diagonal+Inner side d)/(2-Inner side d)))+ sqrt(((Outer side b+Inner Diagonal+Inner side c)/2)*((Side B+Diagonal+Side C)/(2-Side B))*((Outer side b+Inner Diagonal+Inner side c)/(2-Inner Diagonal))*((Outer side b+Inner Diagonal+Inner side c)/(2-Inner side c))) Go
Outer diagonal of Concave Quadrilateral
diagonal = sqrt((Side A^2)+(Side B^2)-(2*Side A*Side B)*cos(Angle B)) Go
Inner diagonal of Concave Quadrilateral
diagonal = sqrt((Side B^2)+(Side C^2)-(2*Side B*Side C)*cos(Angle C)) Go
Inner side of Concave Quadrilateral
side_d = sqrt(Side A^2+Diagonal^2-(2*Side A*Diagonal)*cos(Angle B)) Go
Acute angle of Concave Quadrilateral
angle_a = arccos((Side A^2+Side D^2-Diagonal^2)/(2*Side A*Side D)) Go
Reflex angle of Concave Quadrilateral
angle = (2*pi)-Angle A-Angle B-Angle C Go
Perimeter of concave quadrilateral
perimeter = Side A+Side B+Side C+Side D Go

Reflex angle of Concave Quadrilateral Formula

angle = (2*pi)-Angle A-Angle B-Angle C
α = (2*pi)-∠A-∠B-∠C

What is a concave quadrilateral?

A quadrilateral is called a concave quadrilateral, if at least one line segment joining the vertices is not a part of the same region of the quadrilateral. That is, any line segment that joins two interior points goes outside the figure.

How to Calculate Reflex angle of Concave Quadrilateral?

Reflex angle of Concave Quadrilateral calculator uses angle = (2*pi)-Angle A-Angle B-Angle C to calculate the Angle, The Reflex angle of Concave Quadrilateral formula is defined as δ = 360° - α - β - γ where α, β, γ are acute angle and δ is reflex angle of concave quadrilateral. Angle and is denoted by α symbol.

How to calculate Reflex angle of Concave Quadrilateral using this online calculator? To use this online calculator for Reflex angle of Concave Quadrilateral, enter Angle A (∠A), Angle B (∠B) & Angle C (∠C) and hit the calculate button. Here is how the Reflex angle of Concave Quadrilateral calculation can be explained with given input values -> 65 = (2*pi)-0.5235987755982-0.785398163397301-3.8397243543868.

FAQ

What is Reflex angle of Concave Quadrilateral?
The Reflex angle of Concave Quadrilateral formula is defined as δ = 360° - α - β - γ where α, β, γ are acute angle and δ is reflex angle of concave quadrilateral and is represented as α = (2*pi)-∠A-∠B-∠C or angle = (2*pi)-Angle A-Angle B-Angle C. The angle A the space between two intersecting lines or surfaces at or close to the point where they meet, The angle B the space between two intersecting lines or surfaces at or close to the point where they meet & The angle C is the space between two intersecting lines or surfaces at or close to the point where they meet.
How to calculate Reflex angle of Concave Quadrilateral?
The Reflex angle of Concave Quadrilateral formula is defined as δ = 360° - α - β - γ where α, β, γ are acute angle and δ is reflex angle of concave quadrilateral is calculated using angle = (2*pi)-Angle A-Angle B-Angle C. To calculate Reflex angle of Concave Quadrilateral, you need Angle A (∠A), Angle B (∠B) & Angle C (∠C). With our tool, you need to enter the respective value for Angle A, Angle B & Angle C 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 Angle?
In this formula, Angle uses Angle A, Angle B & Angle C. We can use 7 other way(s) to calculate the same, which is/are as follows -
  • diagonal = sqrt((Side A^2)+(Side B^2)-(2*Side A*Side B)*cos(Angle B))
  • diagonal = sqrt((Side B^2)+(Side C^2)-(2*Side B*Side C)*cos(Angle C))
  • side_d = sqrt(Side A^2+Diagonal^2-(2*Side A*Diagonal)*cos(Angle B))
  • angle_a = arccos((Side A^2+Side D^2-Diagonal^2)/(2*Side A*Side D))
  • angle = (2*pi)-Angle A-Angle B-Angle C
  • perimeter = Side A+Side B+Side C+Side D
  • area = sqrt(((Outer side a+Inner Diagonal+Inner side d)/2)*((Outer side a+Inner Diagonal+Inner side d)/(2-Outer side a))*((Outer side a+Inner Diagonal+Inner side d)/(2-Inner Diagonal))*((Outer side a+Inner Diagonal+Inner side d)/(2-Inner side d)))+ sqrt(((Outer side b+Inner Diagonal+Inner side c)/2)*((Side B+Diagonal+Side C)/(2-Side B))*((Outer side b+Inner Diagonal+Inner side c)/(2-Inner Diagonal))*((Outer side b+Inner Diagonal+Inner side c)/(2-Inner side c)))
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