Radius of gyration of a body about an axis at a distance 6 cm from its centre of mass is 10 cm. Find its radius of gyration about a parallel axis through its centre of mass.

Explanation

To find the radius of gyration of a body about a parallel axis through its center of mass, we can use the parallel axis theorem and the relationship between moment of inertia and radius of gyration.

### Step-by-Step Solution:

1. **Understand the Given Information:**
- The radius of gyration \( k_1 \) about an axis at a distance of 6 cm from the center of mass is given as 10 cm.
- This means \( k_1 = 10 \, \text{cm} = 0.1 \, \text{m} \).
- The distance \( d \) from the center of mass to the axis is \( d = 6 \, \text{cm} = 0.06 \, \text{m} \).
...