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Maths Project Topic- cyclic quadrilateral

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Name

Class 9th C

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First and foremost, we would like to

thank to our supervisor of this project,

Mr

Mayank

for

thevaluable gu

idance

and advice. He inspired us greatly to

work in this project. His willingness to

motivate us contributed tremendously

to our project. We also would like to

thank him for showing us someexample that related to the topic of 

our project.

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Introduction

� A circle is the set of points in a plane that

are equidistant f rom a given point .

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About a Circle

The distance f rom

the centreis calledthe radius, and the

point is called the center.

Twice the radius is

known as the diameter .

The angle a circlesubtends f rom its center 

is a full angle.

About a Circle

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 About a Circle

  Let r be the radius then circumference=2{22/7}r.

Let r be the radius then area= 22/7*r*r.

� If c is the centre of a circle of radius r and Pis a point in its plane such that:

� OP<r, P is in the interior of the circle.

� Op=r, P is on the circle.

� OP>r, P is in the exterior of the circle.

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CONGRUENT CIRCLES: Circles having equal radii are

called congruent circles.

P Q 

a a

SEMI CIRCLE: Each diameter divides the circle into

segments.

I) Circumference= 22/7*r+2r.

II) Area= ½*22/7*r*r

III) Angle of semi circle is a right angle.

Some types of circles

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 Minor segment

 Major segment

Angles in CirclesAngles in Circles

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Major Sector

Major arc

Minor 

arc

Minor 

Sector

Angles in CirclesAngles in Circles

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 CYCLIC QUADRILATERAL: The quadrilateral whose all the four vertices

lie on the circle is called a cyclic quadrilateral.

A

BC

D

 Cyclic quadrilateral

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 Properties of cyclic quadrilateral

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