Class 10 Maths 2 Chapter 3 Circle Worksheet Maharashtra Board

Class 10 Maths 2 Chapter 3 Circle Worksheet

This Class 10 Circle worksheet is designed for Maharashtra State Board students who want structured practice after studying Chapter 3. It includes questions based on chords, arcs, tangents, secants, angles formed by circles and important circle theorems.

The worksheet begins with concept-based multiple-choice questions and gradually moves towards numerical, theorem-based and proof-based problems. Students must study each diagram carefully, identify the appropriate property and write every calculation or geometrical reason clearly.

Important Circle Properties

A circle is the set of all points in a plane that are at the same distance from a fixed point called the centre. A line segment joining two points on a circle is a chord, while a chord passing through the centre is called a diameter.

• Equal chords of the same circle subtend equal angles at the centre.
• Equal chords of the same circle are equidistant from the centre.
• The perpendicular drawn from the centre to a chord bisects the chord.
• A line passing through the centre and the midpoint of a chord is perpendicular to the chord.
• The tangent at any point of a circle is perpendicular to the radius through the point of contact.
• Tangent segments drawn from the same external point are equal.

Types of Questions Included

How to Solve the Circle Worksheet

1. Study the diagram and mark the centre, radii, chords, tangents and points of contact.
2. Write all the measurements and geometrical information given in the question.
3. Identify the circle property or theorem that applies.
4. Mark the right angle when a radius meets a tangent.
5. Mark equal tangent segments or equal radii wherever applicable.
6. Form the required equation or geometrical relationship.
7. Write every calculation as one separate mathematical step.
8. Write the final answer with the correct unit and geometrical reason.

Benefits of Practising This Worksheet

• Revises important Circle concepts in one structured worksheet.
• Improves understanding of chords, tangents, radii and secants.
• Develops confidence in theorem-based and proof-based questions.
• Provides practice in reading and marking geometrical diagrams.
• Strengthens the connection between circle geometry and the Pythagoras theorem.
• Improves step-by-step presentation and geometrical reasoning.
• Supports school tests, prelims and Maharashtra SSC Board examination preparation.

Common Mistakes Students Should Avoid

• Do not assume that a line touching the circle is a tangent unless it has exactly one point of contact.
• Do not forget that the radius is perpendicular to the tangent only at the point of contact.
• Do not equate tangent segments drawn from different external points.
• Do not confuse a chord with a secant or diameter.
• Do not use a theorem without writing the required condition.
• Do not depend only on the appearance of the diagram because diagrams may not be drawn to scale.
• Do not write only the final answer in a proof-based question.
• Include the correct geometrical reason beside every important statement.

Frequently Asked Questions

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