Topics
Compound Interest
- Compound Interest as a Repeated Simple Interest Computation with a Growing Principal
- Use of Compound Interest in Computing Amount Over a Period of 2 Or 3-years
- Use of Formula
- Finding CI from the Relation CI = A – P
Commercial Mathematics
Goods and Services Tax (G.S.T.)
Banking
Algebra
Geometry
Shares and Dividends
Symmetry
Mensuration
Linear Inequations
Quadratic Equations
- Quadratic Equations
- Method of Solving a Quadratic Equation
- Factorisation Method
- Quadratic Formula (Shreedharacharya's Rule)
- Nature of Roots of a Quadratic Equation
- Equations Reducible to Quadratic Equations
Trigonometry
Statistics
Problems on Quadratic Equations
- Method for Solving a Quadratic Word Problem
- Problems Based on Numbers
- Problems on Ages
- Problems Based on Time and Work
- Problems Based on Distance, Speed and Time
- Problems Based on Geometrical Figures
- Problems on Mensuration
- Problems on C.P. and S.P.
- Miscellaneous Problems
Ratio and Proportion
Probability
Remainder Theorem and Factor Theorem
- Function and Polynomial
- Division Algorithm for Polynomials
- Remainder Theorem
- Factor Theorem
- Applications of Factor Theorem
Matrices
Arithmetic Progression
Geometric Progression
Reflection
- Co-ordinate Geometry
- Advanced Concept of Reflection in Mathematics
- Invariant Points
- Combination of Reflections
- Using Graph Paper for Reflection
Section and Mid-Point Formulae
Equation of a Line
Similarity
Loci
- Locus
- Points Equidistant from Two Given Points
- Points Equidistant from Two Intersecting Lines
- Summary of Important Results on Locus
- Important Points on Concurrency in a Triangle
Angle and Cyclic Properties of a Circle
Tangent Properties of Circles
Constructions
Volume and Surface Area of Solids (Cylinder, Cone and Sphere)
- Mensuration of Cylinder
- Hollow Cylinder
- Mensuration of Cones
- Mensuration of a Sphere
- Hemisphere
- Conversion of Solids
- Solid Figures
- Problems on Mensuration
Trigonometrical Identities
Heights and Distances
- Angles of Elevation and Depression
- Problems based on Elevation and Depression
Graphical Representation of Statistical Data
Measures of Central Tendency (Mean, Median, Quartiles and Mode)
Probability
- Introduction
- Types of Segments
- Key Points Summary
Introduction
A segment is a region of a circle enclosed by:
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A chord (a straight line connecting any two points on the circle)
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The arc (the curved part of the circle between those two points)
CISCE: Class 6
Types of Segments
1. Minor Segment
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The smaller region created by a chord.
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Contains the shorter arc.
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Usually does not contain the center of the circle unless the chord is a diameter.
2. Major Segment
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The larger of the two regions created by a chord.
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Contains the longer arc.
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Usually contains the center of the circle.
3. Semicircle (Special Case)
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Formed when the chord is a diameter (a line passing through the center).
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Divides the circle into two equal halves.
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Each equal half is called a semicircle.
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The diameter is the longest possible chord.
CISCE: Class 10
Key Points: Segment of a Circle
Definition: A segment is a region of a circle bounded by a chord and its arc
Two Main Types:
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Minor Segment = smaller piece
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Major Segment = larger piece
Semicircle Special Case:
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Formed when chord = diameter
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Creates two perfectly equal segments
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Each semicircle = half the circle's area
