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Maths Quiz - Level 5-6 Shapes - Circles (Questions)

Circles are everywhere, from wheels to coins. Learn radius, diameter, and π to find circumference and area, then tackle real KS3 problems.

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(quiz starts below)

Fascinating Fact:

Coins show perfect circles. A £1 coin with a 23 mm diameter has a circumference of about 72 mm.

In KS3 Maths, you use radius, diameter and π to solve problems about circles. You’ll calculate circumference, area, and work with real measures in contexts like coins, wheels, and maps.

Key Terms

Radius: The distance from the centre of a circle to its edge.
Diameter: A straight line passing through the centre, touching both sides; it equals twice the radius.
Circumference: The distance around a circle; use C = πd or C = 2πr.

Frequently Asked Questions (Click to see answers)

How do you find the circumference of a circle in KS3?

Use C = πd if you know the diameter, or C = 2πr if you know the radius. Substitute the value and calculate.

What is the formula for the area of a circle?

The area is A = πr², where r is the radius. If you have the diameter, halve it to get the radius first.

What value of pi should I use in KS3 Maths?

Use π as 3.14 for most questions, or leave answers in terms of π if instructed (for example, 6π cm).

Try These Related Quizzes

1.

The distance measured around a circle is called the .......

[ ]	brim
[ ]	circumference
[ ]	diameter
[ ]	radius

2.

A line which joins the centre of a circle to a point on the circumference is called a .......

[ ]	centre line
[ ]	diameter
[ ]	half distance
[ ]	radius

3.

A line which passes through the centre of a circle and joins two points on its circumference is called a .......

[ ]	centre line
[ ]	circumference
[ ]	diameter
[ ]	radius

4.

What can be calculated using πr²?

[ ]	Area of a circle
[ ]	Circumference of a circle
[ ]	Diameter of a circle
[ ]	Volume of a circle

5.

What is the area of a circle with a radius of 7 cm (to one decimal place)?

[ ]	53.9 cm
[ ]	153.9 cm
[ ]	315.9 cm
[ ]	513.9 cm

6.

To the nearest square metre, what is the area of a circular pool with a radius of 10 m?

[ ]	114 m²
[ ]	214 m²
[ ]	314 m²
[ ]	414 m²

7.

The area of a circular lawn is 628 m². How far is it across to the nearest metre?

[ ]	20
[ ]	24
[ ]	28
[ ]	32

8.

What is the correct formula for the circumference of a circle?

[ ]	C = 2πr
[ ]	C = 2πd
[ ]	C = 2π
[ ]	C = 3πr

9.

A circular lawn has a 20 m radius. What is the approximate circumference of the lawn?

[ ]	100 m
[ ]	126 m
[ ]	150 m
[ ]	175 m

10.

A round table has a diameter of 200 cm. What is the approximate circumference of the table?

[ ]	286 cm
[ ]	628 cm
[ ]	1,256 cm
[ ]	I need to know the radius first

You can find more about this topic by visiting BBC Bitesize - Circles

Maths Quiz - Level 5-6 Shapes - Circles (Answers)

1.

The distance measured around a circle is called the .......

[ ]	brim
[x]	circumference
[ ]	diameter
[ ]	radius

In circles we call this the circumference rather than the perimeter

2.

A line which joins the centre of a circle to a point on the circumference is called a .......

[ ]	centre line
[ ]	diameter
[ ]	half distance
[x]	radius

It radiates out from the circle's centre

3.

A line which passes through the centre of a circle and joins two points on its circumference is called a .......

[ ]	centre line
[ ]	circumference
[x]	diameter
[ ]	radius

The diameter is like 2 radii on the same bearing

4.

What can be calculated using πr²?

[x]	Area of a circle
[ ]	Circumference of a circle
[ ]	Diameter of a circle
[ ]	Volume of a circle

Remember to use the radius of the circle and not the diameter

5.

What is the area of a circle with a radius of 7 cm (to one decimal place)?

[ ]	53.9 cm
[x]	153.9 cm
[ ]	315.9 cm
[ ]	513.9 cm

The radius = 7 cm, so the calculation is: 3.141592 x 7 x 7 = 153.938 cm

6.

To the nearest square metre, what is the area of a circular pool with a radius of 10 m?

[ ]	114 m²
[ ]	214 m²
[x]	314 m²
[ ]	414 m²

The radius = 10 m, so the calculation is: 3.141592 x 10 x 10 = 314.159 m²

7.

The area of a circular lawn is 628 m². How far is it across to the nearest metre?

[ ]	20
[ ]	24
[x]	28
[ ]	32

Remember, you are asked for the diameter not the radius

8.

What is the correct formula for the circumference of a circle?

[x]	C = 2πr
[ ]	C = 2πd
[ ]	C = 2π
[ ]	C = 3πr

Circumference = 2 x 3.141592 x radius. This formula allows you to make intelligent estimates before you work out the real answer

9.

A circular lawn has a 20 m radius. What is the approximate circumference of the lawn?

[ ]	100 m
[x]	126 m
[ ]	150 m
[ ]	175 m

Using C = 2 ? r, 2 x 3.141592 x 20, C = 125.66 m

10.

A round table has a diameter of 200 cm. What is the approximate circumference of the table?

[ ]	286 cm
[x]	628 cm
[ ]	1,256 cm
[ ]	I need to know the radius first

Using C = 2 ? r, 2 x 3.141592 x 100, C = 628.3184 cm. Remember to use radius and not diameter!