Angle A of Cyclic Quadrilateral given Angle C Calculator

✖Angle C of Cyclic Quadrilateral is the space between the adjacent sides of the Cyclic Quadrilateral, forming angle C.ⓘ Angle C of Cyclic Quadrilateral [∠C]

+10%

-10%

✖Angle A of Cyclic Quadrilateral is the space between two adjacent sides of the Cyclic Quadrilateral, forming angle A.ⓘ Angle A of Cyclic Quadrilateral given Angle C [∠A]

⎘ Copy

👎

Formula

✖

Angle A of Cyclic Quadrilateral given Angle C

Formula

`"∠A" = pi-"∠C"`

Example

`"95°"=pi-"85°"`

Calculator

LaTeX

Reset

👍

Download Cyclic Quadrilateral Formula PDF PDF Image

Angle A of Cyclic Quadrilateral given Angle C Solution

STEP 0: Pre-Calculation Summary

Formula Used

Angle A of Cyclic Quadrilateral = pi-Angle C of Cyclic Quadrilateral
∠A = pi-∠C
This formula uses 1 Constants, 2 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Angle A of Cyclic Quadrilateral - (Measured in Radian) - Angle A of Cyclic Quadrilateral is the space between two adjacent sides of the Cyclic Quadrilateral, forming angle A.
Angle C of Cyclic Quadrilateral - (Measured in Radian) - Angle C of Cyclic Quadrilateral is the space between the adjacent sides of the Cyclic Quadrilateral, forming angle C.

STEP 1: Convert Input(s) to Base Unit

Angle C of Cyclic Quadrilateral: 85 Degree --> 1.4835298641949 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

∠A = pi-∠C --> pi-1.4835298641949

Evaluating ... ...

∠A = 1.65806278939489

STEP 3: Convert Result to Output's Unit

1.65806278939489 Radian -->95.0000000000339 Degree (Check conversion here)

FINAL ANSWER

95.0000000000339 ≈ 95 Degree <-- Angle A of Cyclic Quadrilateral

(Calculation completed in 00.004 seconds)

You are here -

Home » Math » Geometry » 2D Geometry » Cyclic Quadrilateral » Angle of Cyclic Quadrilateral » Angle A of Cyclic Quadrilateral given Angle C

Credits

Created by Nayana Phulphagar

Institute of Chartered and Financial Analysts of India National college (ICFAI National College), HUBLI

Nayana Phulphagar has created this Calculator and 300+ more calculators!

Verified by Nikhil

Mumbai University (DJSCE), Mumbai

Nikhil has verified this Calculator and 300+ more calculators!

< 7 Angle of Cyclic Quadrilateral Calculators

Angle between Diagonals of Cyclic Quadrilateral

Go Angle Between Diagonals of Cyclic Quadrilateral = 2*arctan(sqrt(((Semiperimeter of Cyclic Quadrilateral-Side B of Cyclic Quadrilateral)*(Semiperimeter of Cyclic Quadrilateral-Side D of Cyclic Quadrilateral))/((Semiperimeter of Cyclic Quadrilateral-Side A of Cyclic Quadrilateral)*(Semiperimeter of Cyclic Quadrilateral-Side C of Cyclic Quadrilateral))))

Angle A of Cyclic Quadrilateral

Go Angle A of Cyclic Quadrilateral = arccos((Side A of Cyclic Quadrilateral^2+Side D of Cyclic Quadrilateral^2-Side B of Cyclic Quadrilateral^2-Side C of Cyclic Quadrilateral^2)/(2*((Side A of Cyclic Quadrilateral*Side D of Cyclic Quadrilateral)+(Side B of Cyclic Quadrilateral*Side C of Cyclic Quadrilateral))))

Angle D of Cyclic Quadrilateral

Go Angle D of Cyclic Quadrilateral = arccos((Side D of Cyclic Quadrilateral^2+Side C of Cyclic Quadrilateral^2-Side A of Cyclic Quadrilateral^2-Side B of Cyclic Quadrilateral^2)/(2*((Side D of Cyclic Quadrilateral*Side C of Cyclic Quadrilateral)+(Side B of Cyclic Quadrilateral*Side A of Cyclic Quadrilateral))))

Angle A of Cyclic Quadrilateral given Angle C

Go Angle A of Cyclic Quadrilateral = pi-Angle C of Cyclic Quadrilateral

Angle D of Cyclic Quadrilateral given Angle B

Go Angle D of Cyclic Quadrilateral = pi-Angle B of Cyclic Quadrilateral

Angle B of Cyclic Quadrilateral

Go Angle B of Cyclic Quadrilateral = pi-Angle D of Cyclic Quadrilateral

Angle C of Cyclic Quadrilateral

Go Angle C of Cyclic Quadrilateral = pi-Angle A of Cyclic Quadrilateral

Angle A of Cyclic Quadrilateral given Angle C Formula

Angle A of Cyclic Quadrilateral = pi-Angle C of Cyclic Quadrilateral
∠A = pi-∠C

What is a Cyclic Quadrilateral?

A Cyclic Quadrilateral is a quadrilateral that can be inscribed in a circle, meaning that there exists a circle that passes through all four vertices of the quadrilateral. Cyclic quadrilaterals are useful in various types of geometry problems, particularly those in which angle chasing is required.

How to Calculate Angle A of Cyclic Quadrilateral given Angle C?

Angle A of Cyclic Quadrilateral given Angle C calculator uses Angle A of Cyclic Quadrilateral = pi-Angle C of Cyclic Quadrilateral to calculate the Angle A of Cyclic Quadrilateral, The Angle A of Cyclic Quadrilateral given Angle C formula is defined as the space between the adjacent sides (A and D) of the Cyclic Quadrilateral, forming angle A, calculated using angle c of Cyclic Quadrilateral. Angle A of Cyclic Quadrilateral is denoted by ∠A symbol.

How to calculate Angle A of Cyclic Quadrilateral given Angle C using this online calculator? To use this online calculator for Angle A of Cyclic Quadrilateral given Angle C, enter Angle C of Cyclic Quadrilateral (∠C) and hit the calculate button. Here is how the Angle A of Cyclic Quadrilateral given Angle C calculation can be explained with given input values -> 5443.099 = pi-1.4835298641949.

FAQ

What is Angle A of Cyclic Quadrilateral given Angle C?

The Angle A of Cyclic Quadrilateral given Angle C formula is defined as the space between the adjacent sides (A and D) of the Cyclic Quadrilateral, forming angle A, calculated using angle c of Cyclic Quadrilateral and is represented as ∠A = pi-∠C or Angle A of Cyclic Quadrilateral = pi-Angle C of Cyclic Quadrilateral. Angle C of Cyclic Quadrilateral is the space between the adjacent sides of the Cyclic Quadrilateral, forming angle C.

How to calculate Angle A of Cyclic Quadrilateral given Angle C?

The Angle A of Cyclic Quadrilateral given Angle C formula is defined as the space between the adjacent sides (A and D) of the Cyclic Quadrilateral, forming angle A, calculated using angle c of Cyclic Quadrilateral is calculated using Angle A of Cyclic Quadrilateral = pi-Angle C of Cyclic Quadrilateral. To calculate Angle A of Cyclic Quadrilateral given Angle C, you need Angle C of Cyclic Quadrilateral (∠C). With our tool, you need to enter the respective value for Angle C of Cyclic Quadrilateral 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 A of Cyclic Quadrilateral?

In this formula, Angle A of Cyclic Quadrilateral uses Angle C of Cyclic Quadrilateral. We can use 1 other way(s) to calculate the same, which is/are as follows -

Angle A of Cyclic Quadrilateral = arccos((Side A of Cyclic Quadrilateral^2+Side D of Cyclic Quadrilateral^2-Side B of Cyclic Quadrilateral^2-Side C of Cyclic Quadrilateral^2)/(2*((Side A of Cyclic Quadrilateral*Side D of Cyclic Quadrilateral)+(Side B of Cyclic Quadrilateral*Side C of Cyclic Quadrilateral))))

Home

FREE PDFs

🔍 Search