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CIRCLE
Objectives 
After completing this module, you will be able to, 
 Define a circle 
 Define circle basics (chord, segment ...
Circle (Basics) 
A circle is a shape with all points at the same distance from its 
A 
B E 
O 
= 
= 
= 
C D 
Radius 
It’s ...
Chord 
A chord is a straight line segment with its end points on the 
circumference of a circle 
A 
Chord Chord 
B E 
O 
D...
Arc 
An arc is a part of a circumference of a circle. 
O 
M 
N 
Chord 
Major Arc 
Minor Arc 
Minor 
Segment 
Major 
Segmen...
Secant 
If the line segment that forms a chord of a circle is 
extended on both the sides, the straight line with two 
poi...
Sector 
Sector of a circle is a portion of a circle enclosed by two radii and 
an arc. 
O 
Major 
Sector 
Radius Radius 
A...
Circle and a Line in a Plane 
O 
Secant 
Line AB and the circle 
have two common 
points M and N 
Tangent 
There is only o...
Summary 
Let us revise what we have learnt in this session. 
 A circle is a collection of all points in a plane which are...
Summary 
 An arc is a part of a circumference of a circle. 
 If the line segment that forms a chord of a circle is 
exte...
Circle - Basic Introduction to circle for class 10th maths.
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Circle - Basic Introduction to circle for class 10th maths.

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Circle - Basic Introduction to circle for class 10th maths.

  1. 1. CIRCLE
  2. 2. Objectives After completing this module, you will be able to,  Define a circle  Define circle basics (chord, segment , sector, acr, secant, etc)  Define intersecting line, non-intersecting line and tangent.
  3. 3. Circle (Basics) A circle is a shape with all points at the same distance from its A B E O = = = C D Radius It’s the distance from the center of a circle to any point on the circle. Diameter Centre of circle Circumference centre. It’s the distance across a circle through the center. All points on the circle are at same distance from the centre point. It’s the distance around the circle.
  4. 4. Chord A chord is a straight line segment with its end points on the circumference of a circle A Chord Chord B E O Diameter, the biggest chord Interior of the circle Exterior of the circle
  5. 5. Arc An arc is a part of a circumference of a circle. O M N Chord Major Arc Minor Arc Minor Segment Major Segment 1 2
  6. 6. Secant If the line segment that forms a chord of a circle is extended on both the sides, the straight line with two points on the circle is known as a secant. O A B Chor d Secant
  7. 7. Sector Sector of a circle is a portion of a circle enclosed by two radii and an arc. O Major Sector Radius Radius A B Minor Sector
  8. 8. Circle and a Line in a Plane O Secant Line AB and the circle have two common points M and N Tangent There is only one point P which is common to the line AB and the circle A B O M N O P Non-intersecting Line Line AB and the circle have no common points
  9. 9. Summary Let us revise what we have learnt in this session.  A circle is a collection of all points in a plane which are at a constant distance from a fixed point.  Radius is the distance from the center of a circle to any point on the circle.  Diameter is the distance across a circle through the center.  Circumference is the distance around the circle.  A chord is a straight line segment with its end points on the circumference of a circle
  10. 10. Summary  An arc is a part of a circumference of a circle.  If the line segment that forms a chord of a circle is extended on both the sides, the straight line with two points on the circle is known as a secant.  Sector of a circle is a portion of a circle enclosed by two radii and an arc.  Intersecting line have two common points & Non-intersecting line have no common points with the circle.  Tangent have only one common point with the circle.

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