Understanding the Conversion

* Nano (n): 1 nanometer (nm) = 10⁻⁹ meters (m)

* Centi (c): 1 centimeter (cm) = 10⁻² meters (m)

Conversion Steps

1. Convert nanometers to meters:

0.227 nm * (10⁻⁹ m / 1 nm) = 2.27 x 10⁻¹⁰ m

2. Convert meters to centimeters:

2.27 x 10⁻¹⁰ m * (1 cm / 10⁻² m) = 2.27 x 10⁻⁸ cm

Answer: The radius of a potassium atom is 2.27 x 10⁻⁸ cm.