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
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
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Class 10 Mock Test / Practice
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Class 10 Exemplar Questions
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