ppt on circles
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A PowerPoint presentation on circles defines key terms like diameter, radius, circumference, chord, tangent, and sectors. It presents a theorem stating that for any external point, the lengths of the two tangents drawn to a circle are equal, and the angles between each tangent and the line segment joining the point to the circle's center are also equal. A proof of the theorem is provided using properties of congruent triangles.
ppt on circles
- 1. A POWERPOIN PRESENTATION ON CIRCLE
- 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……. … the distance from … the distance … the distance the the centre of across the circle,any Circle… around the circle to passing point Diameter through the centre of on the … its PERIMETER the circle circumference Radius
- 4. Minor Major Segment Segment C AR … part of the touches a line which two joining d circumference of a at points on the the circumference or Ch circle circumference. one point only … chord divides circle From Italian tangere, to touch segments into two Tan g en t
- 5. 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. A tangent is perpendicular to the radius of a circle
- 8. THEOREM THE LENGTH OF TWO TRIANGLES TO A CIRCLE FROM A EXTERNA POINT A EQUA A THEY N L RE L ND A EQUA INCLINED TO THE LINE SEGMENT RE LLY JOINING THE CENTRE A THA POINT T T
- 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…..