A
DB

=
4
π

d
DB
2

=
4
π

(.05)
2
=.001963 m
2

Question

A 
DB
​
 = 
4
π
​
 d 
DB
2
​
 = 
4
π
​
 (.05) 
2
 =.001963 m 
2

VIPSolutions · Accepted Answer

# Calculation of $ A_{DB} $

This formula calculates the area ($A_{DB}$) of a circle given its diameter ($d_{DB}$).

## Formula

$$
A_{DB} = \frac{4}{\pi d_{DB}^2}
$$

However, this appears to be incorrect for the area of a circle.  
The standard formula for the area of a circle is:

$$
A = \pi r^2
$$

Or, in terms of diameter ($d$):

$$
A = \frac{\pi d^2}{4}
$$

## Given Data

- Diameter, $d_{DB} = .05 \, \text{m}$

## Correct Calculation

$$
A_{DB} = \frac{\pi}{4} d_{DB}^2
$$

Plug in the values:

$$
A_{DB} = \frac{\pi}{4} \times (.05)^2
$$
$$
A_{DB} = \frac{\pi}{4} \times .0025
$$
$$
A_{DB} = .0019635 \, \text{m}^2
$$

## Conclusion

- **Calculated area:** $A_{DB} \approx .00196 \, \text{m}^2$

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**Note:**  
If you meant to use a different formula, please clarify. The area calculation above uses the standard formula for the area of a circle.

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