Areas of Circles and Circle Segments – GCSE Maths Revision and Worksheets

Whether you are revising areas of Circles, looking for worksheets on sectors and areas of sectors or you want to test yourself to see where your weak areas are , no pun intended, then we have everything you need on this dedicated Circles page. From straightforward areas of Circle questions to more complex questions the involve things like rearranging the formula to find the radius or diameter as well as using the circumference and arc length to then figure out the area. Take a look at our Circle worksheets and see how you get on.

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What you need to know

What you need to know:

There are a lot of different words used to describe a variety of parts and properties of a circle that you should know the meaning and significance of. They are: centre, radius, diameter, circumference, chord, tangent, arc, sector, and segment. This may seem daunting, but the first four are used very often (so you usually become familiar with them naturally), and several of the others have definitions that relate heavily to one another, for example, a segment is a “slice” of the circle formed by a chord, and a tangent is a straight line that just touches the circumference of the circle.

You are also required to know how to calculate the circumference of a circle (\pi d, where d is the diameter), the area of a circle (\pi r^2, where r is the radius), the area of a sector (a fraction of the area of the whole circle), and the length of an arc (a fraction of the circumference).

Note that you may be asked to find areas/perimeters of “composite shapes” which involve circles. This could be, for example, a square with a semi-circle “stuck” to one side of it. You would then use the fact that a semi-circle is half a circle, so its perimeter is half the circumference than that of a full circle with the same radius/diameter.

Areas of Circles and Circle Segments Revision and Worksheets

Circles Area And Circumference
Level 1-3
Perimeter and Area - Circles
Level 1-3
Area Of Sector And Length Of Arcs
Level 4-5
Circles: circumference
Level 4-5
Area: circles
Level 4-5
Area: semi-circle
Level 4-5
Circles: area
Level 4-5
Area: sector
Level 4-5
Circles: perimeter – semi-circle
Level 4-5
Circles: arc length
Level 4-5

Whether you are a GCSE Maths tutor in Leeds or you run a tuition agency in York, this dedicated Circles resources page will come in handy. You may be looking for segment revision worksheets or arc length questions, well you will find it all hear. All worksheets have been manually checked by an expert Maths tutor to ensure they are suitable for the new 9-1 Maths course and relevant to all major exam boards including AQA, OCR and Edexcel.

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