Find the distance between two parallel tangents of a circle whose radius is `3.5` cm .

Options

A. 7 cm
B. `3.5 cm `
C. 10 cm
D. cannot be determined

Answer

To find the distance between two parallel tangents of a circle whose radius is 3.5 cm, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the relationship between radius and diameter**:
The diameter (D) of a circle is twice the radius (R). The formula for diameter is:
\[ D = 2R \]

2. **Calculate the diameter**:
Given that the radius (R) is 3.5 cm, we can substitute this value into the formula:
\[ D = 2 \times 3.5 \text{ cm} = 7 \text{ cm} \]

3. **Determine the distance between the parallel tangents**:
The distance between two parallel tangents of a circle is equal to the diameter of the circle. Therefore, the distance between the two tangents is:
\[ \text{Distance} = D = 7 \text{ cm} \]

### Final Answer:
The distance between the two parallel tangents of the circle is **7 cm**.

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