maths project somil
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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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