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Scientists investigated the effectiveness of different disinfectants on the growth of bacteria.The diameter of the clear area around one of the disinfectants is 9.2 mm.Calculate its cross-sectional area._____ mm2Write your answer to 1 decimal place.

Question

Scientists investigated the effectiveness of different disinfectants on the growth of bacteria.The diameter of the clear area around one of the disinfectants is 9.2 mm.Calculate its cross-sectional area._____ mm2Write your answer to 1 decimal place.

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Solution

To calculate the cross-sectional area of a circle, we use the formula:

Area = πr²

The diameter of the clear area is given as 9.2 mm. The radius (r) is half of the diameter, so r = 9.2 mm / 2 = 4.6 mm.

Substituting the value of r into the formula, we get:

Area = π(4.6 mm)² = 66.476 mm²

Rounded to one decimal place, the cross-sectional area is 66.5 mm².

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