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Parts of a Circle

There are different parts in a circle with special names. Radius (OC)
Circumference C
Š Centre: The fixed point inside the circle which Centre
(O)
is at equal distance from all points on the circle

is called the centre. Here, point O is the centre A B
of the given circle. Diameter O Q
(AB)
Š Radius: The distance from the centre to any
point on the boundary of the circle is called its P Chord (PQ)

radius.
Here, OC, OA and OB are the radius of the given circle. Remember

Š Diameter: The distance between two points of the A circle can have infinite
boundary of the circle that passes through the centre is radii of equal measure.
Radii is the plural of
called its diameter. Here, AB is a diameter of the given radius.

circle.

Š Circumference: The distance around a circle is called
its circumference. Knowledge Desk

Š Chord: A line segment whose end points lie on the The diameter AB is also
circumference of the circle is called a chord of the circle. a chord. Diameter is the
longest chord of the
Here, PQ is a chord. circle.
Š Semi-circle: The diameter divides a circle into two equal

halves. Each half is called a semi-circle.

Š Relation between Radius and Diameter: The diameter of a circle is twice the radius
of the circle. or
The radius of a circle is half the diameter.

Diameter = 2 × Radius or Radius = Diameter
2

Example 1: Find the diameter of a circle whose radius is 6 cm. p u Z Z L E

Solution: We have, Diameter = 2 × Radius Connect all the given
Therefore, Diameter = 2 × 6 cm = 12 cm dots without lifting
your pencil using
Example 2: Find the radius of a circle whose diameter is 8 cm. exactly four line

Solution: We have, Radius = Diameter segments.
2
8
Therefore, Radius = = 4 cm.
2

152 Mathematics-5