Compound area problems
Switch to our new maths teaching resources
Slide decks, worksheets, quizzes and lesson planning guidance designed for your classroom.
Play new resources video
Lesson details
Key learning points
- In this lesson, we will learn how to calculate the area of compound shapes involving circles.
Licence
This content is made available by Oak National Academy Limited and its partners and licensed under Oak’s terms & conditions (Collection 1), except where otherwise stated.
Loading...
5 Questions
Q1.
If the circumference of a circle is 12pi, what is the area?
144pi
36pi
6pi
Q2.
What is the area of this sector?
![An image in a quiz](/_next/image?url=https%3A%2F%2Foaknationalacademy-res.cloudinary.com%2Fimage%2Fupload%2Fv1707206203%2Fkyrvk5yaw8pgfnpv2a9n.png&w=640&q=75)
100pi
25pi
5pi
Q3.
What is the area of this sector to 1 decimal place?
![An image in a quiz](/_next/image?url=https%3A%2F%2Foaknationalacademy-res.cloudinary.com%2Fimage%2Fupload%2Fv1707206205%2Fn5laonagq8thogexw467.png&w=640&q=75)
113.1
28.3
Q4.
What is the area of this sector to 1 decimal place?
![An image in a quiz](/_next/image?url=https%3A%2F%2Foaknationalacademy-res.cloudinary.com%2Fimage%2Fupload%2Fv1707206208%2Fuviksoeapyt4c6cn4rvr.png&w=640&q=75)
324.2
7.1
81.1
Q5.
What is the area of this sector to 1 decimal place?
![An image in a quiz](/_next/image?url=https%3A%2F%2Foaknationalacademy-res.cloudinary.com%2Fimage%2Fupload%2Fv1707206210%2Frcpo3pw7s8jk5rtwynaj.png&w=384&q=75)
24.1
48.2
530.1
5 Questions
Q1.
What calculation would work out the shaded area?
![An image in a quiz](/_next/image?url=https%3A%2F%2Foaknationalacademy-res.cloudinary.com%2Fimage%2Fupload%2Fv1707164370%2Ftfrohg13uuv7xv52u6xt.png&w=384&q=75)
100 - 10pi
100 - 20pi
100 - 5pi
Q2.
What calculation would work out the shaded area?
![An image in a quiz](/_next/image?url=https%3A%2F%2Foaknationalacademy-res.cloudinary.com%2Fimage%2Fupload%2Fv1707164391%2Fbkrum3uzzjaishj7gkvl.png&w=640&q=75)
12pi - 10pi
6pi - 5pi
Q3.
What calculation would work out the total area?
![An image in a quiz](/_next/image?url=https%3A%2F%2Foaknationalacademy-res.cloudinary.com%2Fimage%2Fupload%2Fv1707164408%2Fey3b7lx9nbxklit6xeql.png&w=640&q=75)
16 + 16pi
16 + 8pi
32 + 8pi
Q4.
What is the total area?
![An image in a quiz](/_next/image?url=https%3A%2F%2Foaknationalacademy-res.cloudinary.com%2Fimage%2Fupload%2Fv1707164417%2Fqyf6bal5fuy24mpyngcc.png&w=640&q=75)
12pi + 13
12pi + 49
4pi + 20
Q5.
A square of perimeter 80cm is attached to a semi-circle, they fit together with no overlap. What is the total area?
200 + 20pi
80 + 50pi
80 +20pi