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ROTHESAY ACADEMY
MATHEMATICS DEPARTMENT
FIRST LEVEL THIRD LEVEL
CIRCLEPATHWAY 1 BLOCK 4
CIRCUMFERENCE
Learning Intention
Know how to calculate the circumference of a circle
Success Criteria
Successfully use the circumference formula
Show all the correct working
The diagram shows all the key parts of a circle.
CIRCLE
Diameter
Radius
Circumference
Diameter = 2 x Radius
The circumference of a circle is the perimeter of a circle. It can be
calculated by using the formula of 𝐶 = 𝜋𝑑, where 𝜋 = 3.141592…
CIRCUMFERENCE OF A CIRCLE
Calculate the circumference of these circles
NOW YOUR TURN
TeeJay Level F
Page 118
Exercise 1 Q1 – Q7
PERIMETER OF COMPOSITE SHAPES
Learning Intention
Know how to calculate the perimeter of a shape that includes
part of a circle
Success Criteria
Be able to split the shape into known shapes
Show all appropriate working
To calculate the perimeter of a composite shape we split the shape
into “known” parts, usually dealing with the straight and curved
parts separately.
PERIMETER OF COMPOSITE SHAPES
Calculate the perimeter of this shape
NOW YOUR TURN
TeeJay Level F
Page 119
Exercise 1 Q8 – Q13
CIRCUMFERENCE – WORKING BACKWARDS
Learning Intention
Know how to calculate the radius or diameter of a circle when
given the circumference
Success Criteria
Successfully use the circumference formula
Show all the correct working
We can use the circumference formula to calculate the diameter
(or radius) if we know the circumference.
CIRCUMFERENCE OF A CIRCLE
Calculate the diameter
of these circles
NOW YOUR TURN
TeeJay Level F
Page 121
Exercise 2
AREA OF A CIRCLE
Learning Intention
Know how to calculate the area of a circle
Success Criteria
Successfully use the area formula
Show all the correct working
The area of a circle is calculated by using the formula 𝐴 = 𝜋𝑟2
AREA OF A CIRCLE
Calculate the area of these circles
NOW YOUR TURN
TeeJay Level F
Page 123
Exercise 3 Q1 – Q5
AREA OF COMPOSITE SHAPES
Learning Intention
Know how to calculate the area of a shape that includes part of a
circle
Success Criteria
Be able to split the shape into known shapes
Show all appropriate working
To calculate the area of a composite shape we split the shape into
“known” parts, dealing with each shape separately.
AREA OF COMPOSITE SHAPES
Calculate the area of these shapes
NOW YOUR TURN
TeeJay Level F
Page 125
Exercise 4
CIRCLE SUMMARY
Calculate the diameter of
these circles
Calculate the
circumference and area of
these circles
Calculate the perimeter and area of this shape
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