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The effectiveness of an antiseptic or antibiotic

The effectiveness of the chosen antibiotic or antiseptic can be measured numerically by using the formula \( \pi {r}^{2}\). Using the diagram below.

Method

  1. For \( \pi\) use 3.14. This value may vary slightly in a specific question.
  2. Measure the diameter of the zone of inhibition and divide it by 2 to find the radius.
  3. Use the equation: \( \pi {r}^{2}\)

Example

In the diagram below, the diameter of the clear zone around antibiotic sample B is 10 mm.

The radius of the clear zone is 5 mm (\( \text{radius} = \frac{diameter} {2}\))

The area of the clear zone = \( \pi {r}^{2}\)

= 3.14 Ă— 5 Ă— 5

= 3.14 Ă— 25

= 78.5 mm2

The effectiveness of the chosen antibiotic or antiseptic can be measured numerically by using the formula πr2. Using the diagram