Circles

CBSE Class 6 Mathematics- Chapter 4- Basic Geometrical Ideas. Circles Notes with Examples- A circle is a simple closed curve. Many things like coin, round, bangle or a clock.

Circles

 

A circle is a simple closed curve which is not a polygon. We see
many things that are round, a clock, a bangle, coin.

 

Parts of a circle

Here is a circle with center C.

A, P, B, M are points on the circle.

                                                                     

                                          

 

 

Example: From the figure, identify:
a) The center of circle
b) Three radii
c) A diameter
d) A chord
e) Two points in the interior
f) A point in the exterior
g) A sector
h) A segment

                               


a) O is the center of the circle.
b) OA, OB and OC are the three radii
c) AC is the diameter of the circle

d) ED is a chord
e) O and P are the two points in the interior.
f) Q is the point in the exterior
g) OAB (shaded portion) is a sector
h) ED (shaded portion) is a segment

 

Example: Say true or false:
a) Two diameters of a circle will necessarily intersect.
b) The center of a circle is always in its interior.

a) The two diameters of the circle will always intersect at the
center.

b) True, the center of a circle will always lie in its interior.

Example:
a) Is every diameter of a circle also a chord?
b) Is every chord of a circle also a diameter?


a) Yes, every diameter of a circle is a chord. A chord is the line
segment joining any two points on the circle.
Diameter is the
longest possible chord of the circle.

b) No, every chord is not a diameter because a diameter always
passes through the center, having its end points on the circle
whereas a chord may not necessarily pass through the center.

 

 

 

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