the circle 1. know the names of a circles features 2. calculate the circumference why am i doing...
TRANSCRIPT
The Circle
1. Know the names of a circle’s features2. Calculate the circumference
Why am I doing this?
A wheel is a circle!
Circles in design – Mickey Mouse is made from circles
A real favourite SAT and GCSE question
OK - What have I got to do?
Name these Features
The distance from the centre to the edge
The distance from one side to the other passing through the centre
The distance all of the way round the edge
The blue line
The distance from the centre to the edge RADIUS
The distance from one side to the other passing through the centre DIAMETER
The distance all of the way round the edge CIRCUMFERENCE
The blue line CHORD
Sector
Segment
APPROXIMATELY FINDING THE
CIRCUMFERENCE
Level 5
APPROXIMATELY what is the relationship
(connection) between a circle’s diameter and its
circumference?
To APPROXIMATELY find the CIRCUMFERENCE MULTIPLY the
DIAMETER by 3 (C = 3 x d)Radius Diameter Circumference
4
8
12
10
5
15
18
30
42
To APPROXIMATELY find the CIRCUMFERENCE MULTIPLY the
DIAMETER by 3 (C = 3 x d)Radius Diameter Circumference
2 4 12
4 8 24
6 12 36
10 20 60
5 10 30
15 30 90
3 6 18
5 10 30
7 14 42
OAA
• A circle has a diameter of 10 cm. APPROXIMATELY (ROUGHLY), what is its circumference?
• A circle has a circumference of 18 cm. Approximately, what is its diameter?
30 cm
6 cm
Calculate the Circumference Using the Correct Formula
Level 6
Diameter = 12 cm
C = d
C = 3 X 12
C = 36
How to calculate the circumference
The symbol is the Greek letter pi. It stands for a number
that can never be found exactly. It is approximately
3.14
Evaluate the CIRCUMFERENCE
Always, write the formula (rule)
Diameter = ?cm
C = d
d = C ÷
d = C ÷ 3
d = 40 ÷ 3
d = 13.333333
How to calculate the diameter from the circumference
If the circumference is 40 cm. evaluate the DIAMETER
Always, write the formula (rule)
Diameter Radius Circumference
1 24
2 14
3 17
4 30
5 22
6 120
7 78
8 88
9 120
10 340
Rememberd = 2 X rr = d ÷ 2
Diameter Radius Circumference
1 24 12 75.36
2 14 7 43.96
3 34 17 106.76
4 60 30 188.4
5 22 11 69.08
6 120 60 376.8
7 156 78 489.84
8 176 88 552.64
9 38.22 19.11 120
10 108.28 54.14 340