Find the missing angle of a quadrilateral calculator


Calculator and formulas for calculating the properties of a quadrilateral

  • Geometry
  • Quadrilateral

Quadrilateral properties calculator


This function calculates various properties of a general quadrilateral.

To calculate, enter the lengths of 3 sides and the two angles that connect these sides. Then click on the 'Calculate' button.

Find the missing angle of a quadrilateral calculator

Formulas of a quadrilateral


Diagonal e

\(\displaystyle e =\sqrt{a^2+b^2-2ab·cos(β)} \)


Diagonal f

\(\displaystyle f =\sqrt{b^2+c^2-2bc·cos(γ)} \)


Area A

\(\displaystyle A=\frac{\sqrt{4e^2f^2-(b^2+d^2-a^2-c^2)^2}}{4}\)


Perimeter P

\(\displaystyle P=a+b+c+d\)


Angle α

\(\displaystyle α=arccos\left(\frac{a^2+d^2-f^2}{2ad} \right)\)


Angle δ

\(\displaystyle δ=360°-α-β-γ\)

Side length d

\(\displaystyle d=\sqrt{c^2+e^2-2ce·cos(γ_2)}\)

\(\displaystyle γ_2=γ-γ_1\)

\(\displaystyle γ_1=arcos\left(\frac{b^2+e^2-a^2}{2be}\right)\)


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Area of a quadrilateral

[1-10] /421 Disp-Num

Find the missing angle of a quadrilateral calculator
 
Find the missing angle of a quadrilateral calculator

[1]  2022/08/19 05:40   60 years old level or over / A retired person / Useful /

Purpose of useCalculate irregular lot size accurately for sales and marketing records

[2]  2022/07/26 00:54   60 years old level or over / A retired person / Very /

Purpose of useNeeded to calculate area for re-sod.Comment/RequestQaudrilateral is tricky and needed sq footage to order material, yard waste, and labor. Great tool! Thanks!

[3]  2022/06/08 20:47   50 years old level / A retired person / Very /

Purpose of useUsed to calculate a patio area and lawn area in our back garden. Comment/RequestExcellent tool. Thank you.

[4]  2022/06/08 08:49   60 years old level or over / Self-employed people / Useful /

Purpose of useLand area calculationComment/RequestProviding the answer in acreage would be helpful.

[5]  2022/05/25 07:22   40 years old level / An office worker / A public employee / Very /

Purpose of useUsing it to calculate the area of a property based on perimeter measurements, then convert to acres.

[6]  2022/04/27 14:00   40 years old level / An engineer / Very /

Purpose of useCalculate turf in front yard. Excellent. For triangular plots, use a very small dimension for one side.

[7]  2022/04/08 07:05   50 years old level / Self-employed people / Very /

Purpose of useworking out the area of small front garden to be turfedComment/Requestthankyou

[8]  2022/03/23 06:00   20 years old level / High-school/ University/ Grad student / Very /

Purpose of usecollege homework

[9]  2022/02/24 03:36   60 years old level or over / Others / Very /

Purpose of useI'm a real estate agent looking for lots for a client. Comment/RequestThis is a perfect site. This is an easy division problem, but it would be super-cool if you added the number of acres or fraction of an acre in the calculations. Thanks so much for this easy-to-use app.

[10]  2022/01/22 04:50   40 years old level / An engineer / Very /

Purpose of useMeasuring of aluminium sheet

Find the missing angle of a quadrilateral calculator
 
Find the missing angle of a quadrilateral calculator

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Find the missing angle of a quadrilateral calculator

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The angle A of Quadrilateral is the space between two intersecting lines or surfaces at or close to the point where they meet.Angle A of Quadrilateral [∠A]

+10%

-10%

Angle B of Quadrilateral is the space between two intersecting lines or surfaces at or close to the point where they meet.Angle B of Quadrilateral [∠B]

+10%

-10%

Angle C of Quadrilateral is the space between two intersecting lines or surfaces at or close to the point where they meet.Angle C of Quadrilateral [∠C]

+10%

-10%

Angle D of Quadrilateral is the space between two intersecting lines or surfaces at or close to the point where they meet.Angle D of Quadrilateral given other three angles [∠D]

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Angle D of Quadrilateral given other three angles Solution

STEP 0: Pre-Calculation Summary

STEP 1: Convert Input(s) to Base Unit

Angle A of Quadrilateral: 95 Degree --> 1.6580627893943 Radian (Check conversion here)
Angle B of Quadrilateral: 70 Degree --> 1.2217304763958 Radian (Check conversion here)
Angle C of Quadrilateral: 85 Degree --> 1.4835298641949 Radian (Check conversion here)

STEP 2: Evaluate Formula

STEP 3: Convert Result to Output's Unit

1.91986217719459 Radian -->110.000000000068 Degree (Check conversion here)

Credits

Find the missing angle of a quadrilateral calculator

Birsa Institute of Technology (BIT), Sindri

Payal Priya has created this Calculator and 1000+ more calculators!

Find the missing angle of a quadrilateral calculator

Softusvista Office (Pune), India

Team Softusvista has verified this Calculator and 1100+ more calculators!

4 Quadrilateral Calculators

Angle D of Quadrilateral given other three angles Formula

Angle D of Quadrilateral = (2*pi)-(Angle A of Quadrilateral+Angle B of Quadrilateral+Angle C of Quadrilateral)
∠D = (2*pi)-(∠A+∠B+∠C)

What is Quadrilateral?

A Quadrilateral is a plane figure that has four sides or edges, and also four corners or vertices. The angles are present at the four vertices or corners of the quadrilateral. The word ‘quadrilateral’ is derived from the Latin words ‘quadri,’ which means four, and ‘latus’, which means side.

How to Calculate Angle D of Quadrilateral given other three angles?

Angle D of Quadrilateral given other three angles calculator uses Angle D of Quadrilateral = (2*pi)-(Angle A of Quadrilateral+Angle B of Quadrilateral+Angle C of Quadrilateral) to calculate the Angle D of Quadrilateral, Angle D of Quadrilateral given other three angles is the measure of Angle D formed at the intersection of adjacent sides( C and D), calculated using other three angles. Angle D of Quadrilateral is denoted by ∠D symbol.

How to calculate Angle D of Quadrilateral given other three angles using this online calculator? To use this online calculator for Angle D of Quadrilateral given other three angles, enter Angle A of Quadrilateral (∠A), Angle B of Quadrilateral (∠B) & Angle C of Quadrilateral (∠C) and hit the calculate button. Here is how the Angle D of Quadrilateral given other three angles calculation can be explained with given input values -> 110 = (2*pi)-(1.6580627893943+1.2217304763958+1.4835298641949).

FAQ

What is Angle D of Quadrilateral given other three angles?

Angle D of Quadrilateral given other three angles is the measure of Angle D formed at the intersection of adjacent sides( C and D), calculated using other three angles and is represented as ∠D = (2*pi)-(∠A+∠B+∠C) or Angle D of Quadrilateral = (2*pi)-(Angle A of Quadrilateral+Angle B of Quadrilateral+Angle C of Quadrilateral). The angle A of Quadrilateral is the space between two intersecting lines or surfaces at or close to the point where they meet, Angle B of Quadrilateral is the space between two intersecting lines or surfaces at or close to the point where they meet & Angle C of Quadrilateral is the space between two intersecting lines or surfaces at or close to the point where they meet.

How to calculate Angle D of Quadrilateral given other three angles?

Angle D of Quadrilateral given other three angles is the measure of Angle D formed at the intersection of adjacent sides( C and D), calculated using other three angles is calculated using Angle D of Quadrilateral = (2*pi)-(Angle A of Quadrilateral+Angle B of Quadrilateral+Angle C of Quadrilateral). To calculate Angle D of Quadrilateral given other three angles, you need Angle A of Quadrilateral (∠A), Angle B of Quadrilateral (∠B) & Angle C of Quadrilateral (∠C). With our tool, you need to enter the respective value for Angle A of Quadrilateral, Angle B of Quadrilateral & Angle C of Quadrilateral and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How do you find the missing angle of a quadrilateral?

How to Find a Missing Angle in a Quadrilateral. The 4 angles in a quadrilateral always add up to 360°. To find a missing angle in a quadrilateral, add up the 3 known angles and subtract this result from 360°.

What is the formula to find the angle of a quadrilateral?

The interior angles of a quadrilateral add up to 360°. This value is calculated from the formula given by the angle sum property of polygons. Sum of interior angles = (n − 2) × 180°, where 'n' represents the number of sides of the given polygon.

How do you find an angle with 4 sides?

Add the sum of all three angles in the quadrilateral and subtract it from 360 to get the final angle. For example a quadrilateral with the angles 40, 59.34, and 59.34 degrees would have a fourth angle of 201.32 degrees (360 - (59.34 + 59.34 + 40) = 201.32).