Loading please wait

The smart way to improve grades

Comprehensive & curriculum aligned

Try an activity or get started for free

Find Angles Using Knowledge of Sectors

In this worksheet, students will use their knowledge of sectors to find angles when given an arc length and sector area.

'Find Angles Using Knowledge of Sectors ' worksheet

Key stage:  KS 4

GCSE Subjects:   Maths

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

Curriculum topic:   Geometry and Measures, Mensuration

Curriculum subtopic:   Mensuration and Calculation Area Calculations

Difficulty level:  

Worksheet Overview

meat pie

 

So, you'd like the biggest piece of the pie, but have been told you can only have it if you can calculate the angle of it.

That is so unfair. The things you have to do!

 

As ever there is a formula to do this.

As we are looking at 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 help us find the angle of a sector.

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

 

Example

 

pie chart

 

The area of the dark blue sector of this pie chart is 25 cm²

The radius is 10 cm. Find the angle at the centre of this sector.

 

Angle = Area x 360 ÷ π x r x r

 25 x 360 = 9000

3.14 x 10 x 10 = 314

9000 ÷ 314 = 28.7° correct to 1 decimal place

 

Just follow the steps of the formula carefully and you can't go wrong!

 

In the following questions, 3.14 has been used as the value of π

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
laptop

Try an activity or get started for free

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