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Surface Area of a Sphere

In this worksheet students will learn the formula for finding the surface area of a sphere and be able to apply it.

'Surface Area of a Sphere' worksheet

Key stage:  KS 4

GCSE Subjects:   Maths

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

Curriculum topic:   Mensuration, Geometry and Measures

Curriculum subtopic:   Area Calculations Mensuration and Calculation

Difficulty level:  

Worksheet Overview

The one good thing about a sphere, it always bounces back.



A sphere is a perfectly rounded 3 dimensional circular solid.




Unless you work in a very specialised field, you are unlikely to need to find the surface area of a sphere.

However, you do need it for maths classes. 

As ever there is a formula to learn, but this is pretty easy to remember.


Can you remember the formula for the area of a circle?


Surface area of a sphere = 4 x Π x r x r or can be written as 4Πr²


As you can see it is just the formula for finding the area of a circle with the number 4 in front.

Remember r is the radius, which is measured from the centre of the circle to the edge.

Can you remember the value of Π?  3.142 or 3.14 is normally used in calculations.  For this activity use the π button in your calculators.


It is best for this level of work to use a scientific calculator as you can put everything into the calculator at once without trying to work things out first.


Let's get started!


Find the surface area of this sphere.


Surface area = 4 x Π x r x r

                        4 x Π x 8 x 8 = 804 cm²


As we are working with area we always answer in units²

This is all there is to it, you just have to learn the formula.


Let roll on...

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