Centre Of Circle

Centre Of Circle - Transcript

2
x
x
This is the ARC
o
Centre of Circle
The Angle x subtended at the centre of a circle by an arc is twice
the size of the angle on the circumference subtended by the same
arc.
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2x
x
o
This is the ARC
Centre of Circle
Angle subtended at the Centre is twice the angle at the
circumference

x
x
x
We are ALL EQUAL
This is the Arc
Minor Segment
Major Segment

o
A
B
CD x
180-x
If this angle was 600 then angle
BCD would be 1800-600=1200
1200
Points which lie on the circumference of the
same circle are called cyclic (or concyclic)
points. A cyclic quadrilateral is a quadrilateral
with all its four corners (vertices) on the
circumference of the same circle.

T
A
B
O
TA=TB
Tangent
Tangent

Major Segment
Minor SegmentA B C
E
D
The Shaded Segment BED is called the alternate segment to the angle CBD
The angle between a tangent to a circle and a chord drawn through the point
of contact is equal to any angle subtended by the chord at the circumference in
the alternate segment

Centre of Circle
Diameter