Monday, 17 July 2017

Circle V -Top Circle Formulas for Cyclic Quadrilateral

In this post, we will discuss top circle formulas for cyclic quadrilateral which will help you solve circle Questions in SSC Exams
Cyclic Quadrilateral

Questions on Cyclic Quadrilateral always appear in SSC Exams. These Cyclic Quadrilaterals Questions can be easily solved with the help of circle formulas. If you have a firm grip on basics of circles and circle formulas then these questions can be easily solved within 30 seconds.

This is the fifth post in the series of circles. In our previous post, we have discussed what is a circle? Formulas for chords, tangent formulas and circle formulas for intersecting circles. In this post, we will discuss, circle formulas for cyclic quadrilateral questions asked in SSC Exams.
Cyclic Quadrilateral

What is a Cyclic Quadrilateral? 

A cyclic quadrilateral is a quadrilateral where all 4 vertices of a quadrilateral touch the circumference of the circle. 
Cyclic Quadrilateral



Circle Formula for Cyclic Quadrilateral 1: 

BD through C forms a minor arc and BD through A forms a major arc.

=> The angle made by a minor arc at the centre is θ¹ then any point in the major arc will make an angle of θ¹/ 2. 

=> The angle made by major arc at the centre is θ² then any point in the minor arc will make an angle of θ²/ 2
Cyclic Quadrilateral


In our previous post, we have discussed Circle formulas for Intersecting circles. Read the blog to have a better understanding about Circle Formulas
Cyclic Quadrilateral

Circle Formula for Cyclic Quadrilateral 2: 

The angle made at the centre is 360 degrees

Cyclic Quadrilateral

Circle Formula for Cyclic Quadrilateral 3: 

Opposite angle sin Cyclic Quadrilateral sums up to 180 degrees.

Cyclic Quadrilateral

That means that Sum of all the angles sum up to 360* degrees
Cyclic Quadrilateral

Hope these circles formulas for cyclic quadrilateral have been of help to you while preparing for SSC CGL 2017 as circle questions often appear in these competitive exams. 

Do write in the comment section below on how these circle formulas for cyclic quadrilateral have helped you solve circle questions asked in mock tests for SSC CGL. Also, download free questionnaire for practice!

Stay tuned for our next blog.
Cyclic Quadrilateral

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