Tenth Class Maths: Chapter 11 - Areas Related to Circles

About the Chapter:

• In this chapter, we learn about areas related to circles.
• All exercises and examples are available in video format.

Important Points:

Introduction to Sector and Segment:

• Sector: The area between an arc and two radii in a circle.
  • Minor Sector: Small sector
  • Major Sector: Large sector
• Segment: The area between a chord and an arc in a circle.
  • Minor Segment: Small segment
  • Major Segment: Large segment

Formulas:

• Sector Area:
  • Formula: ( \frac{\theta}{360} \times \pi r^2 ) -( \theta ): Angle
• Arc Length:
  • Formula: ( \frac{\theta}{360} \times 2\pi r )
• Major Sector Area:
  • Formula: ( \pi r^2 - \text{Minor Sector Area} )
• Major Segment Area:
  • Formula: ( \pi r^2 - \text{Minor Segment Area} )

Important Tips:

• To find the total area of a circle: ( \pi r^2 )
• When an angle is unknown, consider it as ( \theta ).
• Understand the difference between major and minor sectors, and segments.

Next Steps:

• Check out the exercises and examples.

Conclusion:

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