This is a presentation made on circles lesson from maths NCERT textbook for the Art Integration project of CBSE

1. Maths Art Integrated Project
2021-2022
By Vidwan Maruti Kawale
Class 10A Roll No.: 11
Submitted to: Ms Sana Jalal

2. Acknowledgement
I would like to express my special thanks of gratitude to my Maths
Teacher “Ms Sana Jalal” and My friends for helping me out for their
able guidance and support in completing my Project.
I would like to extend my gratitude to Principal Madam “Mrs.
Shamina Irfan Shaikh” for providing me with all the facility that were
required.
DATE:
14 July’ 21
Vidwan Maruti Kawale
Class 10A Roll No. 11

3. Index
1. Introduction to Circles
a. Parts of the Circle
i. What are Chords?
ii. What are Tangents?
iii. What are Arcs?
iv. What are Slices?
2. Theorems
a. 1st Theorem
b. 2nd Theorem
3. Real-Life examples
4. What we learnt?
5. References

4. Introduction
What is a Circle?
A circle is a collection all points in a plane which are
equidistant from a fixed point. The fixed point is called the
Centre and the fixed distance is called the Radius. The
Diameter of a circle is any straight line that passes through
the centre and whose endpoints lie on the Circle
A circle divides the plane on which it lies into three parts.
They are:
1. Inside the circle, which is called Interior of the circle
2. The circle
3. Outside the circle, which is also called Exterior of the
circle

5. What is a Chord?
A Chord of a circle is a straight line segment whose both
endpoints lie on a circle.
If the chord is extended, it is called a Secant. The largest
chord of the circle is a Diameter.
What is a Tangent?
The Tangent is a line that just touches the
circle at only one point. You can draw only 2
tangents from an external point.
What is Point of contact?
Point of contact is the point on the circle where
the Tangent touches
What is a Arc?
A piece of circle between two points is called an
Arc. There are two types of Arc:
i) Major Arc is the Arc which has more length and
ii)Minor Arc For Ex. The

6. What are Slices?
There are 2 main Slices of a Circle
i) Sector
ii) Segment
A pizza slice is a Sector
The slice made by a Chord is the Segment

7. Theorem
1st Theorem
The Tangent at any point of a circle is perpendicular to the
radius through the point of contact.
It means that if a radius is drawn from the point of contact
of the tangent then it is perpendicular to the radius
2nd Theorem
The lengths of tangents drawn from an external point to a
circle are equal.
As you know that we can draw only 2 tangents from an
external point, Hence both the tangents are equal to one
another.

8. Real life examples
There aren’t limited Real Life Examples. So I
am going to show you some of them! 😃
● Vehicle tyres
● Currency coins
● Watches, Wall clocks
● Dart boards
● Human faces

9. What did we learn?
● What are circles
● Parts of the Circle
○ Chords
○ Tangents
○ Arcs
○ Slices
● 2 Theorems of the Circle
○ The Tangent at any point of a circle is perpendicular to the
radius through the point of contact.
○ It means that if a radius is drawn from the point of contact of the
tangent then it is perpendicular to the radius
● Uses of Circles in Daily life

10. References
● NCERT Maths Textbook Class 10 also
the Class 9 NCERT Maths Textbook
● Math is Fun Website (click to go on the
website)
● Google images