Mathematics
Intermediate
50 mins
Teacher/Student led
+80 XP
What you need:
IWB/Projector/Large Screen

Parts of a Circle: Centre, Radius, Diameter, Circumference

Learn to identify and name the four key parts of a circle: centre, radius, diameter and circumference. Discover why the diameter is always twice the radius.

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    1 - Getting Started ~4 mins

    Illustration for Getting StartedHere are two circles side by side: a bicycle wheel and a dinner plate. One is big, one is small. What is the same about both of them, and what one measurement could you take that would tell you nearly everything about the size of a circle?

    2 - Watch and Notice ~9 mins

    Look at the circles on screen. The first shows the parts of a circle: the centre in the middle, a radius reaching out to the edge, the diameter going all the way across through the centre, and the circumference running all the way around the outside edge. Notice how the diameter is exactly twice the radius.

    Now a bigger circle, same rule. This one shows the radius, say what the diameter will be before you check.

    And here the diameter is given first. Say what the radius has to be when we know the whole width across.

    3 - Try It Together ~11 mins

    Key point

    Today we work through these circles together on the board: first drag the radius to 4 and read the diameter, then to 7, then set the radius so the diameter shows exactly 10, and finally drag to a radius of 2.5 (the tricky decimal one). Each time, say what the diameter will be before you check.

    Drag the radius, name the diameter

    4 - Label the Parts in Your Copy ~3 mins

    COPYBOOK MOMENT

    Illustration for Label the Parts in Your CopyIn your maths copy, sketch one circle. Now label four parts:

    • the centre — a small dot in the middle
    • one radius — a line from the centre out to the edge, marked r
    • the diameter — a line all the way across through the centre, marked d
    • the circumference — an arrow around the outside, marked C

    Underneath, write: r = ? and d = 2r.

    5 - Class Challenge ~8 mins

    Now the written conversion round in your copy. For each circle you are given one length and you find the other. Work them in this order, one under the other:

    • radius 3 cm → find the diameter
    • radius 8 cm → find the diameter
    • diameter 14 cm → find the radius
    • diameter 9 cm → find the radius (an odd number — watch the half)
    • diameter 24 cm → find the radius

    For each circle you are given either the radius or the diameter. Use d = 2r to find the missing length. Show each answer with its unit (cm), one under the other in your maths copy.

    1. Radius = 3 cm. Find the diameter.
    2. Radius = 8 cm. Find the diameter.
    3. Diameter = 14 cm. Find the radius.
    4. Diameter = 9 cm. Find the radius.
    5. Diameter = 24 cm. Find the radius.

    Ways to start:

    • If you are given the radius, double it to get the diameter.
    • If you are given the diameter, halve it to get the radius.

    Stretch:

    • A round pizza tray has a radius of 15 cm. How wide is the tray straight across?
    • A circle has a diameter of 30 cm. Find the radius, then find the diameter of a second circle whose radius is double the first one's radius.

    Record: Written in the maths copy, one circle per line, each answer with its unit.

    Answers & strategies (teacher)
    1. Radius = 3 cm. Find the diameter. — 6 cm
    2. Radius = 8 cm. Find the diameter. — 16 cm
    3. Diameter = 14 cm. Find the radius. — 7 cm
    4. Diameter = 9 cm. Find the radius. — 4.5 cm
    5. Diameter = 24 cm. Find the radius. — 12 cm
    Pupil practice
    Module 6 · 2D and 3D Shape, Angles, Symmetry Shape & Space
    Lesson 77 · Parts of a Circle: Centre, Radius, Diameter, Circumference
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