Primary School · Mathematics

Circles (Basic properties): Practice Questions

5 multiple-choice questions marked as you go, and 5 written questions with worked solutions. All on Circles (Basic properties).

10 questions25 marksFree, no account

Question 1

1 mark

What do we call the line segment that joins the centre of a circle to any point on its circumference?

Question 2

1 mark

Which of the following descriptions about a sphere is correct?

Question 3

1 mark

In the figure below, the radius of Circle \(A\) is \(8\text{ cm}\), the radius of Circle \(B\) is \(5\text{ cm}\), and the radius of Circle \(C\) is \(3\text{ cm}\). The three circles touch each other externally in a straight line as shown. What is the distance between the centre of Circle \(A\) and the centre of Circle \(C\)?

Question 4

1 mark

Which of the following is a basic property of a circle?

Question 5

1 mark

In circle \(O\), the diameter \(AB\) passes through the centre. If the length of the radius is \(r\), and a line segment \(XY\) connects two points on the circle but does not pass through the centre, which of the following is true about its length?

Question 6

2 marks

The radius of a circular clock face is \(10\) cm. What is the length of the diameter of this clock face in cm?

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Question 7

3 marks

Explain how the distance from any point on the surface of a sphere to its center relates to the sphere's radius.

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Question 8

5 marks

In the figure below, two identical circles each with radius \(5\text{ cm}\) touch each other. A rectangle is drawn tightly enclosing both circles side by side. Find the perimeter of the rectangle.

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Question 9

4 marks

A circular garden has a diameter of \( 14 \) metres. A straight path is built connecting two points on the edge of the circle.

(a) What is the length of the longest possible straight path that can be built inside this garden?
(b) Calculate the radius of the circular garden.
(c) If a person walks exactly one round along the edge of the garden, how far do they walk? (Use \( \pi = \frac{22}{7} \))

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Question 10

6 marks

In the figure below, two concentric circles share the same centre \(O\). The diameter of the smaller circle is \(12\text{ cm}\), and the width of the ring (the distance between the two circular boundaries) is \(4\text{ cm}\).
(a) Find the radius of the smaller circle.
(b) Find the radius of the larger circle.
(c) Find the diameter of the larger circle.
(d) A line segment passes through \(O\) and has both endpoints on the larger circle's circumference. What is the name and length of this line segment?

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