Convert the following statement scales to RF scale: i) 2cm to 1km, ii) 1cm to 1km

Formula:

$$1~\mathrm{km} = 1000~\mathrm{m}$$ $$1~\mathrm{m} = 100~\mathrm{cm}$$ $$1~\mathrm{km} = 1000 \times 100 = 100{,}000~\mathrm{cm}$$

Substitute for 2 km:

$$2~\mathrm{km} = 2 \times 100{,}000~\mathrm{cm} = 200{,}000~\mathrm{cm}$$

Map distance = $1~\mathrm{cm}$
Ground distance = $200{,}000~\mathrm{cm}$

RF scale:

$$1~\mathrm{cm} : 200{,}000~\mathrm{cm} = 1 : 200{,}000$$

Final answer:
1:200000