Loading please wait

The smart way to improve grades

Comprehensive & curriculum aligned

Try an activity or get started for free

Find the Area of a Sector

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

'Find the Area of a Sector ' 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 Area Calculations

Difficulty level:  

Worksheet Overview

When you go to a pizza restaurant, I don't suppose you are wondering where the maths is, do you?

Maybe you do.  I am usually too hungry!




Take this humble pizza, where is the maths in that?

The slice you have just cut for yourself (looks a little small to me) is called a sector.


A sector is an area between an arc of a circle at its two radii.

Now to find out how much you have cut you need to find the area of the sector.


As ever there is a formula to do this.

As we are looking a part of a circle  is involved of course.


To find the area of a circle we use the formula Πr²  or (π x r x r)


It makes sense to use this to find the sector.

Remember you can use the π button on your calculator or use the value 3.14


Area of a sector =  angle/360 x π x radius x radius      (angle/360 x πr²)


Let's calculate how hungry you are!




The radius of the pizza is 6 cm and the angle is 50°

50 ÷ 360 x π x 6 x 6 = 15.71 cm²


To save a lot of writing down in mid calculation, it is best if you use a scientific calculator as you can put the whole formula in at once.

The calculator is clever enough to know the value of pi too.

What is EdPlace?

We're your National Curriculum aligned online education content provider helping each child succeed in English, maths and science from year 1 to GCSE. With an EdPlace account you’ll be able to track and measure progress, helping each child achieve their best. We build confidence and attainment by personalising each child’s learning at a level that suits them.

Get started

Try an activity or get started for free

  • educational
  • bettfutures
  • cxa
  • pta
  • era2016
  • BDA award
  • Explore LearningTuition Partner
  • tacm