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The antibiotic called cefalexin created a clear area with a diameter of 18 mm.Calcualte the cross-sectional area in mm._____ mm2Use the maths keyboard to write your answer in standard form and to three significant figures.

Question

The antibiotic called cefalexin created a clear area with a diameter of 18 mm.Calcualte the cross-sectional area in mm._____ mm2Use the maths keyboard to write your answer in standard form and to three significant figures.

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Solution

The cross-sectional area of a circle is calculated using the formula πr², where r is the radius of the circle.

Given that the diameter of the clear area is 18 mm, the radius would be half of this, which is 9 mm.

Substituting this into the formula gives:

Area = π(9 mm)² = 254.469 mm²

So, the cross-sectional area of the clear area created by the antibiotic cefalexin is approximately 254.469 mm².

To three significant figures, this would be 254 mm².

This problem has been solved

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