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PTM COLLEGE OF EDUCATION

SUBMITTED BYPRAJITHA.N.P

B.Ed, MATHEMATICSCANDIDATE CODE:18014377003

CIRCLELENGTH OF CHORD AND CIRCUMCIRCLE

CIRCLE The locus of a point that moves around a fixed point at a constant distance is called circle

CHORDA line joins two points in a circle is

called CHORD

A B

RADIUSA line joins one point and centre of

the circle is called RADIUS

c

o

IN A CIRCLE DRAW SO MANY RADII

Large chord of a circle is DIAMETER

D E

d = 2rr = d/2D=DiameterR=Radius

Radius is the half of the diameter Diameter is the double of radius

LENGTH OF CHORDRadius is ‘r’ and specific distance ‘d’ from a centre of circle. Then length of chord, l=2√r2-d2

r = Radius A f

B

d = specific distance from centrel= length of chord

R D

L= length of chordR=Radius

D= Specific Distance

R D

L=2√(r2-d2 )R=√(d2-(l/2)2 )D=√(r2-(l/2)2 )

CIRCUMCIRCLECIRCLE PASSES THROUGH THE THREE

VERTICES OF A TRIANGLE IS CALLED CIRCUMCIRCLE

Circum centre of a right angled triangle is the midpoint of its hypotenuse.

Circum centre of a acute angled triangle is in its interior.

Circum centre of a obtuse angled triangle is in its exterior.

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