A scientist investigated the effect of different disinfectants on the growth of the bacterium, Bacillus subtilis.A disinfectant used to clean hospital floors left a zone of inhibition with a diameter of 24 mm.Calculate the cross-sectional area in mm._____ mm2Use the maths keyboard to write your answer in standard form and to three significant figures.
Question
A scientist investigated the effect of different disinfectants on the growth of the bacterium, Bacillus subtilis.A disinfectant used to clean hospital floors left a zone of inhibition with a diameter of 24 mm.Calculate the cross-sectional area in mm._____ mm2Use the maths keyboard to write your answer in standard form and to three significant figures.
Solution
To calculate the cross-sectional area of the zone of inhibition, we can use the formula for the area of a circle, which is πr². However, we are given the diameter, not the radius. The radius is half the diameter, so in this case, it would be 24 mm / 2 = 12 mm.
Now we can substitute the radius into the formula:
Area = πr² Area = π(12 mm)² Area = π(144 mm²) Area = 452.39 mm²
So, the cross-sectional area of the zone of inhibition is approximately 452 mm² to three significant figures.
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