Further circumference and area (8300 - Foundation - Geometry and measures)

Topic:Further circumference and area

Specification references (in recommended teaching order)

Specification content Specification notes
G9
  • Identify and apply circle definitions and properties, including centre, radius, chord, diameter, circumference, tangent, arc, sector and segment (review of Year 9)


    G17
    • Know and use the formulae
      • Circumference of a circle `= 2 pi r = pi d`
      • Area of a circle `= pi r^2`
    • Calculate the perimeter of 2D shapes including circles and composite shapes
    • Calculate areas of circles and composite shapes (review of Year 9)
    • Calculate surface area of spheres, cones and composite solids

    • Including frustums

    Solutions in terms of `pi` may be asked for.


    G18
    • Calculate arc lengths, angles and areas of sectors of circles


      N8
      • Calculate exactly with multiples of `pi`



        The subject content (above) matches that set out in the Department for Education’s Mathematics GCSE subject content and assessment objectives document.

        The expectation is that:

        • All students will develop confidence and competence with the content identified by standard type
        • All students will be assessed on the content identified by the standard and the underlined type; more highly attaining students will develop confidence and competence with all of this content
        • Only the more highly attaining students will be assessed on the content identified by bold type. The highest attaining students will develop confidence and competence with the bold content.

        Teaching resources

        Teaching resources - see below
        Downloadable resource in format. 29/08/2014

        Arcs, Sectors and Segments
        A number of powerpoints which consider finding the length of arcs and areas of sectors in real life contexts. There is an extension into section G23h of the specification to use the formula �½absinC to find the area of a segment. You will need to register for a TES account to access this resource, this is free of charge. 17/06/2015
        Area of Composite Shapes
        An activity in which students must find an algebraic expression to represent the area of composite shapes made up of rectangles and circles. 17/06/2015
        Circle - Maths is Fun
        An overview of the names of different circle parts and the methods for finding circumference and area of circles. There are ten interactive multiple choice questions.17/06/2015
        Circle Pairs
        A simple matching activity in which students must identify matching pairs of images and words for parts of the circle. 17/06/2015
        Ice Cream Investigation
        Four questions set in real life contexts involving ice cream cones and scoops of ice cream. The questions are quite demanding but might be suitable for more able Foundation tier candidates. You will need to register for a TES account to access this resource, this is free of charge. 17/06/2015

        Arcs and Sectors - Pizza Maths
        A worksheet which involves finding arc lengths, sector areas and reverse problems to find the angle of a sector. The questions are set in the context of pizza slices. You will need to register for a TES account to access this resource, this is free of charge. 17/06/2015
        Area and circumference worksheet
        A worksheet on finding the area and perimeter of circles and composite shapes made from rectangles and circles. Answers are provided. You will need to register for a TES account to access this resource, this is free of charge. 17/06/2015
        The circle and other things
        A straightforward powerpoint and worksheet involving naming the various parts of a circle. You will need to register for a TES account to access this resource, this is free of charge. 17/06/2015

        Area of a circle - how to get the formula
        A video which clearly explains how to deduce the formula for the area of circle by splitting into sectors.17/06/2015
        Circle Song
        YouTube Circle song 29/08/2014
        Mathematical Pi Song
        YouTube Pi Song29/08/2014

        Circles
        Circumference of a circle activity 29/08/2014

        Perimeter, area and volume - Homework sheets
        Downloadable resource in doc format. 06/04/2010
        Properties of polygons and circles - Homework sheets
        Downloadable resource in doc format. 02/04/2010
        Properties of polygons and circles - Parts of a circle - Lesson plan
        Downloadable resource in doc format. 09/04/2010
        Properties of polygons and circles - Parts of a circle - Powerpoint
        Downloadable resource in ppt format. 05/04/2010
        Properties of polygons and circles - Parts of a Circle - Scoresheet
        Downloadable resource in xls format. 06/04/2010
        Properties of polygons and circles - Parts of a circle - Worksheet 1
        Downloadable resource in doc format. 04/04/2010
        Properties of Polygons and Circles - Parts of a Circle - Worksheet 2
        Downloadable resource in doc format. 03/04/2010

        Topic Tests

        8300 GCSE Foundation Area and Circumference of Circles Practice Mark Scheme
        Downloadable resource in pdf format. 14/03/2023
        8300 GCSE Foundation Area and Circumference of Circles Practice Topic Test
        Downloadable resource in pdf format. 14/03/2023

        Create, edit, and share assessments quickly and easily with Exampro Mathematics