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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
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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