1. CIRCLE
SUBMITTED BY-
PREM KUMAR
CLASS-10 ‘A’
ROLL NO.-16

2. What is a circle?
Circles are simple closed curves which divide the plane into two regions: an interior and an exterior.

3. Features OF CIRCLE……. Circumference
… the distance from the centre of the circle to any point on the circumference
… the distance around the Circle…
… its PERIMETER
… the distance across the circle, passing through the centre of the circle
Diameter
Radius

4. … part of the circumference of a circle
Minor Segment
Major Segment
ARC
Chord
… part of the circumference of a circle
… a line which touches the circumference at one point only
From Italian tangere, to touch
… a line joining two points on the circumference.
… chord divides circle into two segments
Tangent

5. Parts
Major sector
SECANT
Minor Sector

6. TANGENT
A tangent to a circle is a line that intersects the circle at only one point A B

7. Tangent & Radius
A tangent is perpendicular
to the radius of a circle

8. THEOREM
THE LENGTH OF TWO TRIANGLES TO A CIRCLE FROM AN EXTERNAL POINT ARE EQUAL AND THEY ARE EQUALLY INCLINED TO THE LINE SEGMENT JOINING THE CENTRE AT THAT POINT

9. GIVEN: In c(o , r),tangents AP, PB
Are shown from the external point P.
To prove: AP=PB, APO= BPO
Const.: join AO & BO
Proof: In,
∆AOP=∆BOP
OP=OP (common)
OAP=OBP (Each 90°)
AO=OB (radii of same circle)
∆AOP =~ ∆BOP (R.H.S)
AP=PB, APO= BPO C.P.C.T
HENCE PROVED…..

10. THANK YOU…