# Area Related to Circles class 10 Notes Mathematics

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## CBSE Guide Area Related to Circles class 10 Notes

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## 10 Mathematics notes Chapter 12 Area Related to Circles

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CBSE Class 10 Mathematics
Revision Notes
CHAPTER 12
AREAS RELATED TO CIRCLES

1. Perimeter and Area of a Circle
2. Areas of Sector and Segment of a Circle
3. Areas of Combinations of Plane Figures
4. Miscellaneous Questions

• Perimeter or Circumference of the circle = $2\pi r,$ where $r$ is the radius of the circle.

Or Circumference of the circle = $\pi d,$ where $d$ is the diameter of the circle.

• Area of circle = $\pi {r^2}$ where ‘r’ is the radius of the circle.
• Area of Semi circle = $\frac{{\pi {r^2}}}{2}$
• Area enclosed by two concentric circles
$\pi (R^2-r^2)$
$\pi (R+r)(R-r) ; \ \ \ \ \ \ R>r$

where ‘R’ and ‘r’ are radii of two concentric circles.

• The arc length ‘$l$’ of a sector of angle $'\theta '$ in a circle of radius ‘r’ is given by

$l = \frac{\theta }{{{{360}^o}}} \times 2\pi r$

$l = \frac{\theta }{{{{180}^o}}} \times \pi r$

• If the arc subtends an angle $\theta$, then area of the corresponding sector is $\frac{\theta }{{{{360}^o}}} \times \pi {r^2}$

The sector which is less than the semicircular region, is called the minor sector and the sector, which is more than the semicircular region is called the major sector.

• Area of segment= Area of sector – Area of corresponding triangle
• Area of major segment = Area of circle – Area of minor segment
• Angle described by minute hand in 60 minutes = 360°. Angle described by minute hand in 1 minute $= \left( {\frac{{{{360}^o}}}{{60}}} \right) = {6^o}$