Measurement: Radius and Diameter of Circle


Trace the outline of a CD, a round plate or a ring on paper and cut it along its edge to get a circular paper disc.
Take a circular paper disc, fold it in half and then unfold it.

The line of the fold that divides the circle into two halves is a diameter of the circle. In the figure below, XY is a diameter.


diameter of circle


Fold the paper disc in another way and you will get another diameter of the circle. Name it ST as below.

radius of circle

Measure the lengths of the two diameters. You will note that XY = ST.

Also, XY and ST meet at point O, which is known as the centre or center of the circle.

Any line drawn from the centre O, to the boundary or edge of the circle is a radius of the circle. In the figure above, OP is a radius. OQ is another radius. Measure the lengths of OP and OQ and you will notice that OP = OQ.

Radius = Diameter ÷ 2
Or
Diameter = 2 × Radius
You will also note that the radius is equal to half the diameter of the circle.
OP  =  1
2
  XY
OP  =  1
2
  ST

Problem 1

Find the radius of the circle below.

find radius

Diameter  =  6 cm
Radius  =  6 cm ÷ 2
   =  3 cm

Problem 2

The diameter of a circle if 20 m. What is its radius?
Radius  =  20 m ÷ 2
   =  10 m
 
        find radius

Problem 3

Find the diameter of the circle below.

find diameter

Radius  =  7 cm
Diameter  =  2 × 7 cm
   =  14 cm

Problem 4

The radius of a circle is 15 m. Find its diameter.
Diameter  =  2 × 15 m
   =  30 m
 
        find diameter


GLOSSARY of terms related to circle

lines on circle     slices on circle

Circumference: The perimeter of a circle.

Arc: A part of the circumference.

Chord: A line inside a circle that crosses the circumference at two points. A diameter is a chord that passes through the centre of the circle.

Tangent: A straight line that touches the circle at only one point.

Quadrant: A quarter circle.

Semicircle: A half circle.

Sector: A slice of the circle made by two radii. [Think of a pizza slice.]

Segment: A slice of the circle made by a chord.