Class 10 Maths Area Related to Circles – Get here the Notes for Class 10 Maths Area Related to Circles. Candidates who are ambitious to qualify the Class 10 with good score can check this article for Notes. This is possible only when you have the best CBSE Class 10 Maths study material and a smart preparation plan. To assist you with that, we are here with notes. Hope these notes will help you understand the important topics and remember the key points for exam point of view. Below we provided the Notes of Class 10 Maths for topic Area Related to Circles.
- Class: 10th
- Subject: Maths
- Topic: Area Related to Circles
- Resource: Notes
CBSE Notes Class 10 Maths Area Related to Circles
Candidates who are pursuing in Class 10 are advised to revise the notes from this post. With the help of Notes, candidates can plan their Strategy for particular weaker section of the subject and study hard. So, go ahead and check the Important Notes for CBSE Class 10 Maths Area Related to Circles from this article.
PERIMETER AND AREA OF A CIRCLE
We know that
The area of a circle is the measurement of the region enclosed by its boundary. It is measured in square units. -ie- square centimetres or square metres etc.
Area of the circle = πr2
The perimeter of a circle is the length of its boundary. The unit measurement of perimeter is the unit of length.
Perimeter of circle = 2πr
where r is the radius of the circle.
Perimeter of a circle is known as circumference of a circle.
AREA OF SECTOR OF CIRCLE
The part of the circle inclined between two radii (OA & OB) is called sector of circle.
Area of the sector OAPB =0 /360° x πr2
& length of an arc of sector OAPB = length of arc AB =0 /360° x 2πr
Where 0 is the measure of arc AB.
Perimeter of the sector (minor sector)
=0 /360° x 2πr + 2r
AREA OF SEGMENT OF CIRCLE
Any chord AB divides circle into two parts. The bigger part is known as major segment and smaller one is called minor segment.
Area of minor segment APB — Area of sector OAPB — area of ΔOAB
Area of major segment OAQB = πr2 — area of minor segment APB.
NOTE: Area of Δ OAB with ∠AOB = 0 = 1/2 (OA) (OB) sinθ
IN GENERAL
Area of segment of a circle = Area of the corresponding sector — Area of the corresponding triangle.
AREA ENCLOSED BY THE TWO CIRCLES
If R and r are the radii of two concentric circles such that R > r then area enclosed by the two circles = πR2 – πr2
SOME USEFUL RESULTS
(i) If two circles touch internally, then the distance between their centres is equal to the difference of their radii.
(ii) If two circles touch externally, then the distance between their centres is equal to the sum of their radii.
(iii) Distance moved by a rotating wheel in one revolution is equal to the circumference of the wheel.
(iv) The number of revolutions completed by a rotating wheel in one minute Distance moved in one minute
= Distance moved in one minute / circumference
Class 10 Key Points, Important Questions & Practice Papers
Hope these notes helped you in your schools exam preparation. Candidates can also check out the Key Points, Important Questions & Practice Papers for various Subjects for Class 10 in both Hindi and English language form the link below.
| Class 10 Maths | कक्षा 10 गणित |
| Class 10 Science | कक्षा 10 विज्ञान |
| Class 10 Social Science | कक्षा 10 सामाजिक विज्ञान |
| Class 10 English |
Class 10 NCERT Solutions
Candidates who are studying in Class 10 can also check Class 10 NCERT Solutions from here. This will help the candidates to know the solutions for all subjects covered in Class 10th. Candidates can click on the subject wise link to get the same. Class 10 Chapter-wise, detailed solutions to the questions of the NCERT textbooks are provided with the objective of helping students compare their answers with the sample answers.
Class 10 Mock Test / Practice
Mock test are the practice test or you can say the blue print of the main exam. Before appearing in the main examination, candidates must try mock test as it helps the students learn from their mistakes. With the help of Class 10 Mock Test / Practice, candidates can also get an idea about the pattern and marking scheme of that examination. For the sake of the candidates we are providing Class 10 Mock Test / Practice links below.
Class 10 Exemplar Questions
Exemplar Questions Class 10 is a very important resource for students preparing for the Examination. Here we have provided Exemplar Problems Solutions along with NCERT Exemplar Problems Class 10. Question from very important topics is covered by Exemplar Questions for Class 10.
CBSE Class 10 Maths Notes Science Notes Social Science Notes English Notes
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