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Maths Project for class 10

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Maths Project for class 10

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DELHI PUBLIC SCHOOL

jodhpur

MATHS PROJECT WORk On Circles SUBMITTED TO : Mrs. KANIKA Vyas SUBMITTED BY : Shreyansh Mohnot 1

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CLASs: X A

Index

2

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Maths Project for class 10

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Acknowledgement I extend my gratitude and deep sense of appreciation to my principal Mr. B.S.Yadav who provided his whole hearted support to us in the completion of my project. I am highly thankful to the whole maths department and to Kanika Mam who guided me in the completion and compiling of my project. I also extend my most sincere gratitude to my Parents who spared 3

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Maths Project for class 10

http://ww w .scribd.com/Maths-Project- for- class-10/d/26023207

their most valuable time and assisted me in an inimitable manner. Last but not the least I also acknowledge my sincere efforts which I put in to complete my project successfully.

Introductio ionn to to Circl cle es

A circle is a simple shape of Euclidean geometry consisting of those points in a plane which are the same distance from a given point called the centre. The common distance of the points of a circle from its center is called its radius us.

Circles are si simple closed curves which d ivid e the plane in to two r egions, an inte rior and an exterior. In everyday use, the term "circle" may be used interchangeably to refer to to either the boundary of of th the figure (known as the

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Maths Project for class 10

http://ww w .scribd.com/Maths-Project- for- class-10/d/26023207

disk . The refers to the perimeter while the interior of the ci rc le is called a disk rcle is the perimeter of the cir circle (espec pecially ally when refer ferring circumference of a circle to its length). A circle is is a specia speciall ellipse lipse in which the two foci are coi coincident. nt. Circles are conic nic secti sections ons attai attained ned w hen a righ right circul circular ar con cone e is intersec sected w ith a plan lane perp perpen end dicula cularr to to th the axis of of the cone.

Further terminology The diameter of a circle is is th the length of a liline segment whose end points lie lie on th th e circ circle le and which ich pa passe sses th through ough the centre ntre of th the circ ircle. le. This is the larg large est distance between any two points on th e circle. The diameter of a circle is twice its rad radius. us.

The term " radius" can also refer to a line segment from the centre of a circle to its perimeter, and similarly the term "diameter" can refer to a line segm ent between two points on the perimeter which passes through the centre. In this sense, the midpoint of a diameter is the centre and so it is c omposed of tw o rad ii. A chord of a circle is a line segment whose two endpoints lie on th e c ircle. T he diameter, passing through the circle's centre, is the largest chord in a circle. A tang tange ent to a cir circl cle e is is a str strai aigh ght line line that tou touch ches th the circ circle le at a sin singl gle e poi point nt.. A secant is an extend ed chord: a straigh t line cutting the circle at two points. An arc of a circle is any connected part of th the circle's ci rcumference. A sec tor is a region bounded by two radii and an arc lying between the radii, and a segm ent is a region bounded by a chord and an arc lying b etween the chord's endpoints. Length of circumfere c ircumference nce

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Maths Project for class 10

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Maths Project for class 10

http://ww w .scribd.com/Maths-Project- for- class-10/d/26023207

DELHI PUBLIC SCHOOL

jodhpur

MATHS PROJECT WORk On Circles SUBMITTED TO : Mrs. KANIKA Vyas SUBMITTED BY : Shreyansh Mohnot 1

Download Downl oad Google Chrome Chrome Searching is fast and easy with Google's web browser. www.Google.com/Chrome

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Maths Project for class 10

http://ww w .scribd.com/Maths-Project- for- class-10/d/26023207

CLASs: X A

Index

2

/ 18

Maths Project for class 10

http://ww w .scribd.com/Maths-Project- for- class-10/d/26023207

Acknowledgement I extend my gratitude and deep sense of appreciation to my principal Mr. B.S.Yadav who provided his whole hearted support to us in the completion of my project. I am highly thankful to the whole maths department and to Kanika Mam who guided me in the completion and compiling of my project. I also extend my most sincere gratitude to my Parents who spared 3

/ 18

Maths Project for class 10

http://ww w .scribd.com/Maths-Project- for- class-10/d/26023207

their most valuable time and assisted me in an inimitable manner. Last but not the least I also acknowledge my sincere efforts which I put in to complete my project successfully.

Introductio ionn to to Circl cle es

A circle is a simple shape of Euclidean geometry consisting of those points in a plane which are the same distance from a given point called the centre. The common distance of the points of a circle from its center is called its radius us.

Circles are si simple closed curves which d ivid e the plane in to two r egions, an inte rior and an exterior. In everyday use, the term "circle" may be used interchangeably to refer to to either the boundary of of th the figure (known as the

/ 18

Maths Project for class 10

http://ww w .scribd.com/Maths-Project- for- class-10/d/26023207

disk . The refers to the perimeter while the interior of the ci rc le is called a disk rcle is the perimeter of the cir circle (espec pecially ally when refer ferring circumference of a circle to its length). A circle is is a specia speciall ellipse lipse in which the two foci are coi coincident. nt. Circles are conic nic secti sections ons attai attained ned w hen a righ right circul circular ar con cone e is intersec sected w ith a plan lane perp perpen end dicula cularr to to th the axis of of the cone.

Further terminology The diameter of a circle is is th the length of a liline segment whose end points lie lie on th th e circ circle le and which ich pa passe sses th through ough the centre ntre of th the circ ircle. le. This is the larg large est distance between any two points on th e circle. The diameter of a circle is twice its rad radius. us.

The term " radius" can also refer to a line segment from the centre of a circle to its perimeter, and similarly the term "diameter" can refer to a line segm ent between two points on the perimeter which passes through the centre. In this sense, the midpoint of a diameter is the centre and so it is c omposed of tw o rad ii. A chord of a circle is a line segment whose two endpoints lie on th e c ircle. T he diameter, passing through the circle's centre, is the largest chord in a circle. A tang tange ent to a cir circl cle e is is a str strai aigh ght line line that tou touch ches th the circ circle le at a sin singl gle e poi point nt.. A secant is an extend ed chord: a straigh t line cutting the circle at two points. An arc of a circle is any connected part of th the circle's ci rcumference. A sec tor is a region bounded by two radii and an arc lying between the radii, and a segm ent is a region bounded by a chord and an arc lying b etween the chord's endpoints. Length of circumfere c ircumference nce

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Maths Project for class 10

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