Compound area problems

In this lesson, you will learn how to calculate the area of compound shapes involving circles

This quiz includes images that don't have any alt text - please contact your teacher who should be able to help you with an audio description.

Quiz:

Intro quiz - Recap from previous lesson

Before we start this lesson, let’s see what you can remember from this topic. Here’s a quick quiz!

Q1.If the circumference of a circle is 12pi, what is the area?

1/5

Q2.What is the area of this sector?

2/5

Q3.What is the area of this sector to 1 decimal place?

3/5

Q4.What is the area of this sector to 1 decimal place?

4/5

Q5.What is the area of this sector to 1 decimal place?

5/5

This quiz includes images that don't have any alt text - please contact your teacher who should be able to help you with an audio description.

Quiz:

Intro quiz - Recap from previous lesson

Before we start this lesson, let’s see what you can remember from this topic. Here’s a quick quiz!

Q1.If the circumference of a circle is 12pi, what is the area?

1/5

Q2.What is the area of this sector?

2/5

Q3.What is the area of this sector to 1 decimal place?

3/5

Q4.What is the area of this sector to 1 decimal place?

4/5

Q5.What is the area of this sector to 1 decimal place?

5/5

Video

Click on the play button to start the video. If your teacher asks you to pause the video and look at the worksheet you should:

  • Click "Close Video"
  • Click "Next" to view the activity

Your video will re-appear on the next page, and will stay paused in the right place.

Worksheet

These slides will take you through some tasks for the lesson. If you need to re-play the video, click the ‘Resume Video’ icon. If you are asked to add answers to the slides, first download or print out the worksheet. Once you have finished all the tasks, click ‘Next’ below.

This quiz includes images that don't have any alt text - please contact your teacher who should be able to help you with an audio description.

Quiz:

Compound area problems

Don’t worry if you get a question wrong! Forgetting is an important step in learning. We will recap next lesson.

Q1.What calculation would work out the shaded area?

1/5

Q2.What calculation would work out the shaded area?

2/5

Q3.What calculation would work out the total area?

3/5

Q4.What is the total area?

4/5

Q5.A square of perimeter 80cm is attached to a semi-circle, they fit together with no overlap. What is the total area?

5/5

This quiz includes images that don't have any alt text - please contact your teacher who should be able to help you with an audio description.

Quiz:

Compound area problems

Don’t worry if you get a question wrong! Forgetting is an important step in learning. We will recap next lesson.

Q1.What calculation would work out the shaded area?

1/5

Q2.What calculation would work out the shaded area?

2/5

Q3.What calculation would work out the total area?

3/5

Q4.What is the total area?

4/5

Q5.A square of perimeter 80cm is attached to a semi-circle, they fit together with no overlap. What is the total area?

5/5

Lesson summary: Compound area problems

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Time to move!

Did you know that exercise helps your concentration and ability to learn?

For 5 mins...

Move around:
Climb stairs

On the spot:
Chair yoga

This was the final lesson in the unit Circles.

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