The value of `pi//53.2` with due regard to singificant figures is,

Options

A. (a)0.00591
B. (b)0.0591
C. (c)5.091
D. (d)0.591

Explanation

To solve the problem of finding the value of \( \frac{\pi}{53.2} \) with due regard to significant figures, we can follow these steps:

### Step 1: Identify the values
We know that:
- The value of \( \pi \) (approximately) is 3.14.
- The value in the denominator is 53.2.

### Step 2: Perform the division
Now, we will divide \( \pi \) by 53.2:
\[ \frac{3.14}{53.2} \]

### Step 3: Calculate the result
Using a calculator or performing the division manually:
\[ \frac{3.14}{53.2} \approx 0.0590 \]

### Step 4: Determine significant figures
Next, we need to determine the significant figures in our result.
- The numerator (3.14) has 3 significant figures.
- The denominator (53.2) also has 3 significant figures.

When performing division, the result should be reported with the same number of significant figures as the value with the least number of significant figures. In this case, both values have 3 significant figures.

### Step 5: Round the result
Since our result is \( 0.0590 \), we already have it in 3 significant figures. The leading zeros do not count, so we have:
- 5, 9, and 0 are the significant figures.

Thus, the final answer is:
\[ \boxed{0.0590} \]