Circle and its Chords for Competitive Exams

This comprehensive guide covers key concepts, exam patterns, preparation strategies, and additional resources to help aspirants conquer the "Circle and its chords" syllabus in the SSC CGL Tier-I Quantitative Aptitude Section.

The Staff Selection Commission Combined Graduate Level  exam is one of the most popular government job exams in India. Lakhs of aspirants appear for this exam every year to get recruited for prestigious positions like Assistant, Inspector, Sub-Inspector etc. in various ministries and departments of the Government of India.

One of the most crucial stages in this examination is clearing the Tier-I stage, which tests candidates on four subjects - General Intelligence and Reasoning, General Awareness, Quantitative Aptitude, and English Comprehension. Mastering the quantitative aptitude section is key to cracking this round.

Within quantitative aptitude, the topic of "Circle and its chords, tangents, angles subtended by chords of a circle, common tangents to two or more circles" is often perceived as tricky by aspirants. However, with the right conceptual clarity and exam-oriented preparation, this syllabus can be tackled efficiently.

This comprehensive guide equips SSC CGL aspirants to conquer the "Circle and its chords" syllabus in Tier-I. It covers key concepts, patterns and strategies to adopt, and additional resources to supplement preparation.

Understanding Key Concepts

Before diving into practice, aspirants must have crystal clear understanding of the foundational concepts involved:

  • Chords - A chord is a straight line segment that connects two points on the circumference of a circle, passing through the circle.
  • Tangents - A tangent is a line that intersects the circle exactly at one point, touching the circle but not intersecting it anywhere else.
  • Angles Subtended by Chords - The angle formed at the center of the circle by two radii drawn to the end points of a chord is called the angle subtended by that chord.
  • Common Tangents - When two or more circles have a tangent line that is common and touches all of them, they are known as common tangents. These are of two types - internal and external.

Having absolute clarity on these core concepts will enable better comprehension of their application in solving problems.

Exam Pattern and Expectations

With strong fundamentals, aspirants can optimally prepare by knowing what to expect in the Tier-I exam:

  • Questions on chords, tangents and circles range from easy to moderate difficulty level.
  • Problems may involve calculating lengths, areas, perimeters, or angles related to these elements.
  • Questions testing geometric relationships and properties are common.
  • Finding common tangents between two or more circles is frequently tested.

Keeping these patterns in mind will help structure preparation effectively.

Smart Strategies for Success

Along with strengthening conceptual understanding and anticipating exam patterns, adopting the right strategies is crucial for conquering this syllabus:

  • Thoroughly revise basic geometry theorems and properties pertinent to circles.
  • Master important formulas for chords, tangents, angles, areas, perimeters etc. related to circles.
  • Solve previous years' questions from SSC CGL Tier-I exams for extensive practice.
  • Draw diagrams to visualize shapes and relationships, aiding better problem-solving.
  • Look for shortcuts and alternate methods instead of complex calculations.

A combination of robust concepts, structured practice and smart test taking strategies will lead to success.

Additional Preparation Tips

Some additional tips to amplify preparation for this syllabus are:

  • Stay focused and avoid stress during the exam. Maintain calm.
  • Allocate time smartly based on difficulty level and marks weightage.
  • Review unsolved questions later instead of skipping them entirely.
  • Double check calculations before marking final answers.

With diligent practice and calm on the D-day, aspirants can master this syllabus and ace the SSC CGL Tier-I Quantitative Aptitude Section.

Helpful Resources

Some useful resources to supplement preparation are:

  • Official SSC CGL exam syllabus PDF
  • NCERT and other geometry textbooks
  • Online learning portals for practice questions
  • SSC exam focused online communities

Utilizing these well will enrich conceptual clarity and exam readiness.


With robust foundational knowledge, structured practice and smart exam strategies, the "Circle and its chords" syllabus which seems difficult can be mastered efficiently by SSC CGL aspirants. This will greatly boost performance in the Tier-I Quantitative Aptitude section and pave the path towards final selection. Prepare diligently using all resources available and give it your best shot.


Q1: What are the key concepts to know in "Circle and its chords" syllabus?

A1: The key concepts are chords, tangents, angles subtended by chords, and common tangents to two or more circles. Understand these concepts thoroughly.

Q2: What kind of questions can be expected in the exam?

A2: Expect calculation based questions involving lengths, areas, angles etc. related to chords, tangents and circles. Questions testing geometric relationships are also common.

Q3: How should one approach the problems in the exam?

A3: Visualize shapes and configurations by drawing diagrams. Look for shortcuts instead of lengthy calculations. Stay accurate in computations.

Q4: How much time should be spent on this syllabus?

A4: Allocate time based on weightage and difficulty level of individual questions. Do not spend too much time on complex questions.

Q5: What are some useful online resources?

A5: Previous years' papers, online practice portals, SSC focused communities and forums, YouTube video lessons etc. are very helpful.

Q6: What is the best way to start preparation?

A6: Revise basic geometry theorems thoroughly. Then practice extensively by solving previous years' questions and mock tests.