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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

Year:  GCSE

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

A meat pie


Pi time!


Letter Pi


This one!

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


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

You might use the π symbol on your calculator, or use 3.142 instead.

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



Find the circumference of a circle with a diameter of 6 cm. 

Leave your answer in terms of π 


A circle


The formula for finding the circumference of a circle is π ​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


A circle


Find the area of a circle with a radius of 3 cm.


The formula for the area  of a circle is π  x radius x radius or  π

Here, all you have to do is find radius x radius and put π after it.

3 x 3 = 9 so the answer is 9π


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


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.


a quarter circel


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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