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CBSE class 10 Mathematics Chapter 12 Area Related to Circles notes in PDF are available for free download in myCBSEguide mobile app. The best app for CBSE students now provides Area Related to Circles class 10 Notes latest chapter wise notes for quick preparation of CBSE board exams and school based annual examinations. Class 10 Mathematics notes on Chapter 12 Area Related to Circles are also available for download in CBSE Guide website.

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

Perimeter and Area of a Circle
Areas of Sector and Segment of a Circle
Areas of Combinations of Plane Figures
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 $= \left( {\frac{{{{360}^o}}}{{60}}} \right) = {6^o}$

Area Related to Circles class 10 Notes

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