Topics
Real Numbers
- Concept of Divisibility
- Euclid's Division Lemma
- Euclid’s Division Algorithm
- Application of Euclid Lemma > Finding the HCF of Two Positive Integers
- Application of Euclid Lemma > Finding the HCF of Three Numbers
- Application of Euclid Lemma > On Expressing the HCF of Two Numbers a and b in the Form xa + yb
- Fundamental Theorem of Arithmetic
- Applications of the Fundamental Theorem of Arithmetic
- Rational Numbers
- Irrational Numbers
- Nature of the Decimal Expansions of Rational Numbers
Number Systems
Algebra
Polynomials
Coordinate Geometry
Pair of Linear Equations in Two Variables
Quadratic Equations
Geometry
Arithmetic Progressions
Trignometry
Mensuration
Coordinate Geometry
Statistics and Probability
Triangles
Circles
- Tangent to a Circle
- Number of Tangents from a Point on a Circle
Introduction to Trigonometry
Some Applications of Trigonometry
- Angles of Elevation and Depression
- Problems based on Elevation and Depression
Areas Related to Circles
Surface Areas and Volumes
Statistics
Probability
CBSE: Class 10
Maharashtra State Board: Class 10
Maharashtra State Board: Class 10
Definition: Sector of a Circle
Sector of a circle
Region enclosed by two radii and the corresponding arc.
Minor sector
Sector with angle < 180°.
Major sector
Sector with angle > 180°.
Angle of major sector = 360° − angle of minor sector.
CBSE: Class 10
Maharashtra State Board: Class 10
Maharashtra State Board: Class 10
Formula: Area of a Sector
\[\text{Area of sector}=\frac{\theta}{360}\times\pi r^2\]
