Primary School · Mathematics

Perimeter (pi, formula for circumference): Practice Questions

5 multiple-choice questions marked as you go, and 5 written questions with worked solutions. All on Perimeter (pi, formula for circumference).

10 questions23 marksFree, no account

Question 1

1 mark

A circular tabletop has a diameter of \(21\text{ cm}\). Find the circumference of the tabletop. (Take \(\pi = \frac{22}{7}\))

Question 2

1 mark

A shape is formed by connecting a square and a semicircle. The side length of the square is \(14\text{ cm}\), and the diameter of the semicircle is equal to one side of the square. Find the perimeter of the entire shape. (Take \(\pi = \frac{22}{7}\))

Question 3

1 mark

A circular garden is surrounded by a path. The outer radius of the path is \(12\text{ m}\) and the inner radius is \(10\text{ m}\). If a gardener wants to place a fence along both the inner and outer boundaries of the path, what is the total length of the fence needed? (Take \(\pi = 3.14\))

Question 4

1 mark

A circle has a diameter of \(14\text{ cm}\). Find its circumference. (Take \(\pi = \frac{22}{7}\))

Question 5

1 mark

A bicycle wheel has a diameter of \(70\text{ cm}\). If the wheel completes \(50\) full rotations, how many metres does the bicycle travel? (Take \(\pi = \frac{22}{7}\))

Question 6

2 marks

A circular pond has a radius of \( 21 \text{ m} \). Find the circumference of the pond.
(Take \( \pi = \frac{22}{7} \))

Write your answer out first, then check it against the worked solution.

Question 7

4 marks

A semicircle has a diameter of \( 28 \text{ cm} \). Find the perimeter of the semicircle. (Take \( \pi = \frac{22}{7} \))

Write your answer out first, then check it against the worked solution.

Question 8

5 marks

A wire is bent to form a shape made of a semicircle and its diameter. If the circumference of the complete circle with the same radius is \(88\text{ cm}\), find the perimeter of this shape. (Take \(\pi = \frac{22}{7}\))

Write your answer out first, then check it against the worked solution.

Question 9

3 marks

A circular pond has a circumference of \(44\text{ m}\).

(a) Find the radius of the pond.
(b) A stone path is built halfway around the pond along its edge. What is the length of this path?

(Take \(\pi = \frac{22}{7}\))

Write your answer out first, then check it against the worked solution.

Question 10

4 marks

A piece of wire is used to form a shape consisting of a rectangle and a semicircle. The rectangle has a length of \(20\text{ cm}\) and a width of \(14\text{ cm}\). The semicircle is attached to one of the shorter sides of the rectangle, such that its diameter perfectly matches the width of the rectangle.

(a) Calculate the circumference of a full circle with the same diameter as the semicircle. (Take \(\pi = \frac{22}{7}\))
(b) Find the length of the curved part of the semicircle.
(c) Calculate the total perimeter of the entire shape.

Write your answer out first, then check it against the worked solution.

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