Unit Conversion, SM-Bank 021

The square below has an area of 1 square metre.

1 m² = _____ cm × _____ cm = __________ cm² (1 mark)

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A circular poster has an area of 0.09\(\pi\) square metres.
Express this area in square centimetres, giving your answer in exact form. (1 mark)

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a. \(1\ \text{m}^{2} = 100\ \text{cm}\ \times\ 100\ \text{cm}\ = 10\ 000\ \text{cm}^{2} \)

b. \(900\pi\ \text{cm}^{2}\)

Show Worked Solution

a. \(1\ \text{m}^{2} = 100\ \text{cm}\ \times\ 100\ \text{cm}\ = 10\ 000\ \text{cm}^{2} \)

b. \(\text{0.09}\pi\ \text{m}^{2}\)	\(= 0.09\pi \times 10\ 000 \)
	\(=900\pi\ \text{cm}^2 \)