This PPT is dedicated to circle properties with precise explanation and interesting figures. For more structured knowledge and quiz visit.
www.correcteducate.com
2. CIRCLE GEOMETRY
B
C
D
E
A
All angles made by
diameter on the
circumference of circle
are 90 degree.
Angle ABD = 90
Angle ACB = 90
Angle AEC = 90
A B
CD
All angles made by a chord on
the circle are equal.
Angle ACB = Angle BDA
T
P
R Q
B
O
C
A
Φ
Φ
2Φ
Φ
Angle TPR = Angle PQR Angle BOQ =2×angle BAC
4. P
Q
T
PA = PB
O
Angle PTQ = 2 × Angle OPQ
P
Q
T
PA = PB
+ = 180 degree
+ = 360 degree
= 2
CIRCLE GEOMETRY
5. o
BP
90
If in a circle a perpendicular is
drawn from center to a chord
then it divides it in two equal
halves.
OD perpendicular to AB at D
Then AD=DB
D
B
Q
P
PQ×PQ = PB×PA
A
Tangent drawn on the
circumference of a circle is
perpendicular to the line drawn
for the center of that circle
90
CIRCLE GEOMETRY
6. M
If AC=BC=AB and r is the radius of
both the circles
Then, CD= 2 r & AM=MB= r
O BA
P
Circle with single common tangent
By property of tangent in figure
OP=OA &OP=OB
Therefore AO=OB
CIRCLE GEOMETRY