Step 1 :The diameter of the circle is given as \(84 \mathrm{cm}\).
Step 2 :The radius of a circle is half of its diameter. So, to find the radius, we need to divide the diameter by 2.
Step 3 :Using the formula \(\text{radius} = \frac{\text{diameter}}{2}\), we substitute the given diameter into the formula.
Step 4 :\(\text{radius} = \frac{84}{2} = 42\)
Step 5 :\(\boxed{\text{The radius of the circle is 42 cm}}\)