CBSE Class 7 Mathematics Practical Geometry Notes

Download CBSE Class 7 Mathematics Practical Geometry Notes in PDF format. All Revision notes for Class 7 Mathematics have been designed as per the latest syllabus and updated chapters given in your textbook for Mathematics in Class 7. Our teachers have designed these concept notes for the benefit of Class 7 students. You should use these chapter wise notes for revision on daily basis. These study notes can also be used for learning each chapter and its important and difficult topics or revision just before your exams to help you get better scores in upcoming examinations, You can also use Printable notes for Class 7 Mathematics for faster revision of difficult topics and get higher rank. After reading these notes also refer to MCQ questions for Class 7 Mathematics given on studiestoday

Revision Notes for Class 7 Mathematics Chapter 10 Practical Geometry

Class 7 Mathematics students should refer to the following concepts and notes for Chapter 10 Practical Geometry in Class 7. These exam notes for Class 7 Mathematics will be very useful for upcoming class tests and examinations and help you to score good marks

Chapter 10 Practical Geometry Notes Class 7 Mathematics

 

CBSE Class 7 Practical Geometry Concepts. Learning the important concepts is very important for every student to get better marks in examinations. The concepts should be clear which will help in faster learning. The attached concepts made as per NCERT and CBSE pattern will help the student to understand the chapter and score better marks in the examinations.

Practical Geometry

10.1 Circle

A circle is a set of points which are all a certain distance from a fixed point known as the centre.

Radius of the circle:  A line joining the centre of a circle to any of the points on the circle is known as its radius.

Circumference of a circle: The circumference of a circle is the length of the circle.  The circumference of a circle = 2 × π × radius = 2 π r units.

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Chord: A line which touches the circle at two distinct points is called a chord. The line AB in the second diagram represents a chord. It divides the circle into a major segment and a minor segment.

Length of the Perpendicular: The length of the perpendicular from a point P to a line (l) is the distance of the line from the point. i.e. PF

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10.2 Tangents

A tangent to a circle is a straight line which touches the circle at only one point (so it does not cross the circle- it just touches it).

Length of Tangents:  The length of the segment of the tangent from the external point P and the point of contact with the circle is called the length of the tangent from the point P to the circle.

10.3 Theorems

Theorem – 1: Angles Subtended on the Same Arc: Angles formed from two points on the circumference are equal to other angles, in the same arc, formed from those two points. i.e. Angles in the same segment of a circle are equal. 

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Theorem – 2: Angles in a Semi-Circle: Angle in a semi circle is right angle.

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Theorem – 3: Equal chords of a circle subtend equal angles at the centre

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Theorem – 4 (Converse theorem – 3): If the angles subtended by the chords of a circle at the centre are equal, then the chords are equal.

Theorem – 5: The perpendicular from the centre of a circle to a chord bisects the chord.

Theorem – 6 (converse of theorem - 5: The line drawn through the centre of a circle to bisect a chord is perpendicular to the chord.

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Theorem – 7: There is one and only one circle passing through three given non-collinear points.

Theorem – 8: Equal chords of a circle (or of congruent circles) are equidistant from the centre (or centres).

Theorem – 9: Chords equidistant from the centre of a circle are equal in length

Theorem – 10: A tangent to a circle forms a right angle with the circle's radius, at the point of contact of the tangent. Or The tangent at any point of a circle is perpendicular to the radius through the point of contact

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Theorem – 11: If two tangents are drawn on a circle and they cross, the lengths of the two tangents (from the point where they touch the circle to the point where they cross) will be the same. Or The lengths of tangents draw from an external point to a circle are equal. PA = PB

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Theorem – 12 Angle at the Centre (angle measure theorem of a circle): The angle formed at the centre of the circle by lines originating from two points on the circle's circumference is double the angle formed on the circumference of the circle by lines originating from the same points. i.e. a = 2b.

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Theorem – 13 Alternate Segment Theorem: This diagram shows the alternate segment theorem. In short, <1 = <2 and <3 = <4

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10.4 Area of Sector and Arc Length

If the radius of the circle is r, Area of sector = πr2 × A/360  sq. units Arc length = 2πr × A/360 units

In other words, area of sector = area of circle × A/360 arc length = circumference of circle × A/360

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CBSE Class 7 Mathematics Chapter 10 Practical Geometry Notes

We hope you liked the above notes for topic Chapter 10 Practical Geometry which has been designed as per the latest syllabus for Class 7 Mathematics released by CBSE. Students of Class 7 should download and practice the above notes for Class 7 Mathematics regularly. All revision notes have been designed for Mathematics by referring to the most important topics which the students should learn to get better marks in examinations. Studiestoday is the best website for Class 7 students to download all latest study material.

Notes for Mathematics CBSE Class 7 Chapter 10 Practical Geometry

Our team of expert teachers have referred to the NCERT book for Class 7 Mathematics to design the Mathematics Class 7 notes. If you read the concepts and revision notes for one chapter daily, students will get higher marks in Class 7 exams this year. Daily revision of Mathematics course notes and related study material will help you to have a better understanding of all concepts and also clear all your doubts. You can download all Revision notes for Class 7 Mathematics also from www.studiestoday.com absolutely free of cost in Pdf format. After reading the notes which have been developed as per the latest books also refer to the NCERT solutions for Class 7 Mathematics provided by our teachers

Chapter 10 Practical Geometry Notes for Mathematics CBSE Class 7

All revision class notes given above for Class 7 Mathematics have been developed as per the latest curriculum and books issued for the current academic year. The students of Class 7 can rest assured that the best teachers have designed the notes of Mathematics so that you are able to revise the entire syllabus if you download and read them carefully. We have also provided a lot of MCQ questions for Class 7 Mathematics in the notes so that you can learn the concepts and also solve questions relating to the topics. All study material for Class 7 Mathematics students have been given on studiestoday.

Chapter 10 Practical Geometry CBSE Class 7 Mathematics Notes

Regular notes reading helps to build a more comprehensive understanding of Chapter 10 Practical Geometry concepts. notes play a crucial role in understanding Chapter 10 Practical Geometry in CBSE Class 7. Students can download all the notes, worksheets, assignments, and practice papers of the same chapter in Class 7 Mathematics in Pdf format. You can print them or read them online on your computer or mobile.

Notes for CBSE Mathematics Class 7 Chapter 10 Practical Geometry

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