Mathematics Art integrated project Class10 (CBSE)

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 Introduction to Circles Parts of the Circle What are Chords? What are Tangents? What are Arcs? What are Slices? Theorems 1st Theorem 2nd Theorem Real-Life examples What we learnt? 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: Inside the circle, which is called Interior of the circle The circle 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