Constructions (Ch-19): Circumscribing & Inscribing Circles | ICSE Class 10 Part-1

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Chapter 19: Constructions (Circles)
Introduction to Constructions:

Understanding the purpose and importance of geometric constructions.
Basics of using a compass and straightedge.
Constructing a Circle:

Constructing a circle given its radius.
Constructing a circle given its diameter.
Constructing Tangents to a Circle:

Constructing a tangent to a circle from a point outside the circle.
Constructing a tangent to a circle at a given point on the circle.
Constructing Circles Tangent to Two Circles:

Constructing a circle tangent to two given circles.
Analyzing different scenarios and configurations.
Constructing a Circle Tangent to a Line:

Constructing a circle tangent to a given line.
Exploring variations in the construction.
Constructing Common Tangents to Two Circles:

Constructing the common tangents to two given circles.
Analyzing cases of external and internal tangents.
Constructing Circles of Equal Radius:

Constructing circles of equal radius centered at two given points.
Understanding the concept of congruent circles.
Construction of Incircle and Circumcircle (if applicable):

Constructing the incircle of a triangle.
Constructing the circumcircle of a triangle.
Constructing a Circle with a Given Area (if applicable):

Constructing a circle with a specified area.
Applying geometric principles in area calculations.
Use of Technology in Constructions (if applicable):

Using dynamic geometry software for constructions.
Enhancing understanding through technology.
Real-world Applications:

Applying construction techniques to solve practical problems.
Geometric constructions in engineering and design.
Summary and Revision:

Recapitulation of key construction techniques covered in the chapter.

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