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