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4 Days Timetable: Circles | Mathematics (Maths) Class 9 PDF Download

Welcome to your comprehensive study plan for the "Circles" chapter in Class 9 Mathematics. By the end of this plan, you'll be well-prepared to tackle this chapter and excel in your exams.

Topics to Cover


Let's start by understanding the topics we need to cover in this chapter:

  1. Angle Subtended by a Chord at a Point
  2. Perpendicular from the Centre to a Chord
  3. Equal Chords and their Distances from the Centre
  4. Angle Subtended by an Arc of a Circle
  5. Cyclic Quadrilaterals

Day 1: Angle Subtended by a Chord at a Point


What to Cover:

  • Begin by reading the relevant section in the NCERT Textbook for Circles.
  • Understand the concept of angles subtended by a chord at a point on the circumference.
  • Practice solving problems related to this concept.

Study Tips:

  1. Visualize with Diagrams: Draw diagrams to visualize the angles formed by a chord at different points on the circle.
  2. NCERT Problems: Solve the problems given in the NCERT textbook to strengthen your understanding.
  3. Video Demonstrations: Watch video tutorials on the Mathematics Class 9 course for practical demonstrations.

Day 2: Perpendicular from the Centre to a Chord and Equal Chords


What to Cover:

  • Refer to the NCERT Textbook for Circles for the sections on perpendiculars from the center to a chord and equal chords.
  • Understand the properties of chords and their perpendiculars from the center.
  • Practice problems related to these concepts.

Study Tips:

  1. Geometric Constructions: Practice drawing perpendiculars from the center to chords to visualize the concepts.
  2. Comparative Study: Compare different chords in a circle to identify equal chords.
  3. Additional Practice: Explore Practice Questions: Circles on EduRev for more practice.

Day 3: Angle Subtended by an Arc of a Circle and Cyclic Quadrilaterals


What to Cover:

  • Study the concept of angles subtended by an arc of a circle.
  • Explore the properties and characteristics of cyclic quadrilaterals.
  • Solve problems to reinforce your understanding.

Study Tips:

  1. Arc Length: Understand how the measure of an arc relates to the angles it subtends.
  2. Cyclic Quadrilaterals: Identify the conditions for a quadrilateral to be cyclic.
  3. Practice Questions: Solve problems from HOTS Questions: Circles on EduRev to challenge yourself.

Day 4: Revision and Self-Testing


What to Cover:

Study Tips:

  1. Comprehensive Notes: Review your notes and summarize key points for each topic.
  2. Self-Assessment: Take quizzes and tests to evaluate your understanding.
  3. Focus on Weak Areas: Pay extra attention to topics or questions that you find challenging.

Exam Day: Stay Confident


On the day of your exam, stay calm and focused. Trust in your preparation, and you'll do great!
Here are all the links mentioned in the study plan, categorized under suitable headers:
Study Plan Links:

Day 1: Angle Subtended by a Chord at a PointDay 2: Perpendicular from the Centre to a Chord and Equal ChordsDay 3: Angle Subtended by an Arc of a Circle and Cyclic QuadrilateralsDay 4: Revision and Self-TestingAdditional Resources:

Feel free to use these resources to enhance your understanding and preparation for the Circles chapter.

Best of luck with your studies and exams!

The document 4 Days Timetable: Circles | Mathematics (Maths) Class 9 is a part of the Class 9 Course Mathematics (Maths) Class 9.
All you need of Class 9 at this link: Class 9
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FAQs on 4 Days Timetable: Circles - Mathematics (Maths) Class 9

1. What is the angle subtended by a chord at a point?
Ans. The angle subtended by a chord at a point is the angle formed at a point on the circumference of a circle by connecting the endpoints of the chord to the point.
2. How is the angle subtended by a chord at a point calculated?
Ans. The angle subtended by a chord at a point can be calculated using the formula: Angle = 1/2 × (180° - Central angle), where the central angle is the angle subtended by the chord at the center of the circle.
3. What is the significance of a perpendicular from the center to a chord?
Ans. The perpendicular from the center to a chord is significant because it bisects the chord, dividing it into two equal parts. This property is useful in various geometric calculations involving circles.
4. Are all chords of a circle equal in length?
Ans. No, not all chords of a circle are equal in length. The length of a chord depends on its position within the circle. However, if two chords are equidistant from the center of the circle, they will have the same length.
5. What are cyclic quadrilaterals and their properties?
Ans. Cyclic quadrilaterals are quadrilaterals whose vertices lie on the circumference of a circle. They have the property that the opposite angles of the quadrilateral are supplementary, i.e., they add up to 180°. Additionally, the sum of the measures of the exterior angles of a cyclic quadrilateral is always 360°.
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