Unit Conversion, SM-Bank 014

By considering the dimensions of a square with an area of 1 square centimetre, complete the unit conversion equation below:

1 cm² = _____ mm × _____ mm = _______ mm² (1 mark)

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A circle has an area of 950 square centimetres.
Using the conversion equation, or otherwise, express the area of the circle in square millimetres. (1 mark)

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a. \(1\ \text{cm}^{2} = 10\ \text{mm}\ \times\ 10\ \text{mm}\ = 100\ \text{mm}^{2} \)

b. \(95\ 000\ \text{mm}^{2}\)

Show Worked Solution

a. \(1\ \text{cm}^{2} = 10\ \text{mm}\ \times\ 10\ \text{mm}\ = 100\ \text{mm}^{2} \)

b. \(900\ \text{cm}^{2}\)	\(= 900 \times 100\ \text{mm}^{2} \)
	\(= 90\ 000\ \text{mm}^{2} \)