Calculating Areas – From Squares to Circles

$A = 4 \times 3 = 12 \text{ m}^2$

If tiles are $0.5 \times 0.5 \text{ m}$, you need $12 \div 0.25 = 48$ tiles.

$r = 5 \text{ m}$, $A = \pi \times 25 \approx 78.5 \text{ m}^2$

A living room measures 5.5 m × 4 m. Area $= 5.5 \times 4 = 22\text{ m}^2$. Flooring is sold in packs covering 2.5 m² each, so $\lceil 22 \div 2.5 \rceil = 9$ packs are needed. Area calculations prevent under- or over-ordering materials.

An artist is commissioned to paint a circular mural of diameter 6 m. $r = 3\text{ m}$, $A = \pi \times 9 \approx 28.3\text{ m}^2$. Each tin of specialist paint covers 5 m², so $\lceil 28.3 \div 5 \rceil = 6$ tins are needed. Knowing the area saves the artist time and money.

A five-a-side pitch is 45 m × 30 m. Area $= 45 \times 30 = 1350\text{ m}^2$. Rolls of artificial turf are 4 m wide and 25 m long ($= 100\text{ m}^2$ each), so $\lceil 1350 \div 100 \rceil = 14$ rolls are required. Ground staff use area to budget accurately.