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Leave Answers in Terms of Pi

In this worksheet, students will learn how to leave answers in terms of pi.

'Leave Answers in Terms of Pi' worksheet

Key stage:  KS 4

GCSE Subjects:   Maths

GCSE Boards:   AQA, Eduqas, Pearson Edexcel, OCR,

Curriculum topic:   Geometry and Measures, Mensuration

Curriculum subtopic:   Mensuration and Calculation Volume and Surface Area Calculations

Difficulty level:  

Worksheet Overview


Pi time!



This one. Pi, good old pi, or 3.142 as we often use.

In circle work particularly we use  to help with our calculations.  

You may use the  symbol on your calculator or use 3.142 instead.

Here we are going to look at leaving answers in terms of



Find the CIRCUMFERENCE of a this circle with a diameter of 6 cm. Leave your answer in terms of 



The formula for finding the circumference of a circle is x diameter.


This is where the joy comes in no working out to do.  We know the diameter is 6 so we just write

Circumference = 6π



Find the AREA of the circle with a radius of 3 cm

The formula for the area  of a circle = x radius x radius or  Πr²

Here all you have to do in find radius x radius and put after it.

3 x 3 = 9 so my answer is 9π


You may be asked to calculate something a bit different and leave your answer in terms of


For example, what is the length of the curve of this quarter circle?

You will have worked it all out and let's say you have an answer of 9.424777961.

To convert this into terms of Π just divide your answer by Π


It is best to use the Π button on your calculator as it will sometimes round it up for you.

Answers are usually shown to the nearest whole number.



So our answer here is 3Π

Any calculation you have to show in terms of Π  just divide by Π



Did you know that 3.142% of sailors are pi rates!!!


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