ICSE CLASS 9 EX-14.1(Q. 16-20) & Ex-14.2 CIRCLE | ML AGGARWAL SOLUTION

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Chapter 14: Circles
Introduction to Circles:

Definition and properties of circles.
Understanding key terms: radius, diameter, chord, arc, sector, and segment.
Properties of Tangents and Secants:

Tangents and their properties with respect to circles.
Secants and their properties.
Angle Subtended by an Arc:

Understanding the angle subtended by an arc at the center and at the circumference.
Cyclic Quadrilaterals:

Properties of cyclic quadrilaterals.
Understanding the relationships between opposite angles of a cyclic quadrilateral.
Construction of Tangents and Normals:

Constructing tangents and normals to circles from external points.
Understanding the construction process.
Tangent-Radius Relationship:

The perpendicular bisector of a chord passes through the center of the circle.
The angle between the radius and the tangent is 90 degrees.
Arcs and Chords:

Properties of arcs and chords.
Understanding the relationships between the lengths of arcs and chords.
Circles and Triangles:

Angle subtended by an arc in a circle.
Angles in the same segment and angles in a cyclic quadrilateral.
Sector and Segment of a Circle:

Definition and properties of sectors.
Definition and properties of segments.
Applications of Circles in Real Life:

Practical applications of circle geometry in various fields.
Solving problems related to circles.
Coordinate Geometry with Circles (if applicable):

Understanding the equations of circles in coordinate geometry.
Summary and Revision:

Recapitulation of key concepts covered in the chapter.

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