Angle B of Cyclic Quadrilateral Solution

STEP 0: Pre-Calculation Summary
Formula Used
Angle B of Cyclic Quadrilateral = pi-Angle D of Cyclic Quadrilateral
∠B = pi-∠D
This formula uses 1 Constants, 2 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
Angle B of Cyclic Quadrilateral - (Measured in Radian) - Angle B of Cyclic Quadrilateral is the space between the adjacent sides of Cyclic Quadrilateral, forming angle B.
Angle D of Cyclic Quadrilateral - (Measured in Radian) - Angle D of Cyclic Quadrilateral is the space between adjacent sides of Cyclic Quadrilateral, forming angle D.
STEP 1: Convert Input(s) to Base Unit
Angle D of Cyclic Quadrilateral: 110 Degree --> 1.9198621771934 Radian (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
∠B = pi-∠D --> pi-1.9198621771934
Evaluating ... ...
∠B = 1.22173047639639
STEP 3: Convert Result to Output's Unit
1.22173047639639 Radian -->70.0000000000339 Degree (Check conversion here)
FINAL ANSWER
70.0000000000339 70 Degree <-- Angle B of Cyclic Quadrilateral
(Calculation completed in 00.004 seconds)

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St Joseph's College (SJC), Bengaluru
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Vellore Institute of Technology (VIT), Bhopal
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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

5 Angles 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 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 B of Cyclic Quadrilateral Formula

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

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 B of Cyclic Quadrilateral?

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

How to calculate Angle B of Cyclic Quadrilateral using this online calculator? To use this online calculator for Angle B of Cyclic Quadrilateral, enter Angle D of Cyclic Quadrilateral (∠D) and hit the calculate button. Here is how the Angle B of Cyclic Quadrilateral calculation can be explained with given input values -> 4010.705 = pi-1.9198621771934.

FAQ

What is Angle B of Cyclic Quadrilateral?
The Angle B of Cyclic Quadrilateral formula is defined as the space between the adjacent sides ( A and B) of Cyclic Quadrilateral, forming angle B and is represented as ∠B = pi-∠D or Angle B of Cyclic Quadrilateral = pi-Angle D of Cyclic Quadrilateral. Angle D of Cyclic Quadrilateral is the space between adjacent sides of Cyclic Quadrilateral, forming angle D.
How to calculate Angle B of Cyclic Quadrilateral?
The Angle B of Cyclic Quadrilateral formula is defined as the space between the adjacent sides ( A and B) of Cyclic Quadrilateral, forming angle B is calculated using Angle B of Cyclic Quadrilateral = pi-Angle D of Cyclic Quadrilateral. To calculate Angle B of Cyclic Quadrilateral, you need Angle D of Cyclic Quadrilateral (∠D). With our tool, you need to enter the respective value for Angle D of Cyclic Quadrilateral and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
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