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admission open for JEE, NEET & Class 9 - 12 admission open for JEE, NEET & Class 9 - 12

Circles is an important chapter in Class 10 Mathematics that focuses on tangents and their properties. A circle is one of the most fundamental geometric figures and has numerous applications in mathematics, engineering, architecture, and design.

This chapter is important for CBSE Board Exams and Competitive Exams.

What is a Circle?

A circle is a set of all points in a plane that are at a fixed distance from a fixed point called the centre.

Important Terms

  • Centre
  • Radius
  • Diameter
  • Chord
  • Arc
  • Circumference

These terms form the foundation for understanding circle geometry.

Tangent to a Circle

A tangent is a straight line that touches a circle at exactly one point.

Point of Contact

The point where the tangent touches the circle is called the point of contact.

Chapter - 10: Circles
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Properties of Tangents

Tangent and Radius

The tangent at any point of a circle is perpendicular to the radius through the point of contact.

Length of Tangents

The lengths of tangents drawn from an external point to a circle are equal.

These properties are widely used in geometric proofs and problem-solving.

Applications of Circles

Circles are used in:

  • Engineering Designs
  • Architecture
  • Transportation Systems
  • Mechanical Components
  • Sports and Recreation

Their geometric properties help solve practical measurement and design problems.

Importance of the Chapter

  • Strengthens geometry concepts.
  • Develops logical reasoning and proof-writing skills.
  • Helps solve construction and measurement problems.
  • Forms the basis for advanced geometry.

Importance for CBSE Exams

Circles is a scoring chapter in Class 10 Maths. Questions are frequently asked on tangents, properties of tangents, theorem-based proofs, and geometrical applications.

Key Topics Covered

  • Circles
  • Tangent to a Circle
  • Point of Contact
  • Radius and Tangent
  • Properties of Tangents
  • Equal Tangents Theorem
  • Circle Geometry
  • Geometrical Proofs
  • Applications of Circles
  • Practical Uses of Circle Concepts
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admission open for JEE, NEET & Class 9 - 12
FINGERTIPS Physics, Chemistry & Biology