Question

mathematics class test: perimeter & circles

name: devora date: 24/06/26

section a: circles (use \\(\pi = 3.14\\))

1. a circle has a diameter of \\(5\text{ cm}\\). calculate the circumference.
2. a circle has a radius of \\(4\text{ m}\\). calculate the circumference.
3. a circle has a diameter of \\(12\text{ mm}\\). calculate the circumference.
4. a circle has a circumference of \\(31.4\text{ cm}\\). find the diameter.
5. a circle has a circumference of \\(62.8\text{ m}\\). find the radius.

section b: compound shapes

1. calculate the perimeter of a shape with sides: \\(10\text{ m}\\), \\(6\text{ m}\\), \\(8\text{ m}\\), \\(4\text{ m}\\), \\(6\text{ m}\\).
2. a compound shape has sides \\(2\text{ km}\\), \\(3\text{ km}\\), \\(1.5\text{ km}\\) and \\(2.5\text{ km}\\). find the perimeter.
3. calculate the perimeter: \\(150\text{ mm}\\), \\(120\text{ mm}\\), \\(90\text{ mm}\\), \\(60\text{ mm}\\).
4. a compound shape has missing side. total perimeter is \\(50\text{ cm}\\). known sides: \\(10\text{ cm}\\), \\(12\text{ cm}\\), \\(8\text{ cm}\\), \\(5\text{ cm}\\). find missing side.
5. calculate the perimeter of a shape with sides \\(7\text{ cm}\\), \\(3\text{ cm}\\), \\(9\text{ cm}\\), \\(6\text{ cm}\\) and \\(5\text{ cm}\\).

show all working clearly.

Explanation:

Calculate circle circumferences and dimensions

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Calculate perimeters of compound shapes

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$$

Answer:

No.	Answer
2	\(25.12\text{ m}\)
3	\(37.68\text{ mm}\)
4	\(10\text{ cm}\)
5	\(10\text{ m}\)
6	\(34\text{ m}\)
7	\(9\text{ km}\)
8	\(420\text{ mm}\)
9	\(15\text{ cm}\)
10	\(30\text{ cm}\)