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Find the 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.

'Find the Surface Area of a Sphere' worksheet

Key stage:  KS 4

Year:  GCSE

GCSE Subjects:   Maths

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

Curriculum topic:   Mensuration, Geometry and Measures

Curriculum subtopic:   Area Calculations Mensuration and Calculation

Popular topics:   Area worksheets

Difficulty level:  

Worksheet Overview

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


A beach ball


A sphere is a perfectly rounded three-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.


Girl thinking


Can you remember the formula for the area of a circle? It is π


The surface area of a sphere = 4 x π x r x r or can be written as 4π


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 on your calculator.


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!


A ball


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's roll on...

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