Shown below is a culture of bacteria growing on an agar plate.The diameter of one of the colonies is 3.5 mm.Calculate its cross-sectional area.____ mm2Write your answer to 1 decimal place.
Question
Shown below is a culture of bacteria growing on an agar plate.The diameter of one of the colonies is 3.5 mm.Calculate its cross-sectional area.____ mm2Write your answer to 1 decimal place.
Solution 1
To calculate the cross-sectional area of the bacteria colony, we can use the formula for the area of a circle, which is πr².
Step 1: Convert the diameter to radius. The radius is half of the diameter. So, the radius of the bacteria colony is 3.5 mm / 2 = 1.75 mm.
Step 2: Substitute the radius into the formula. The area is π * (1.75 mm)².
Step 3: Calculate the area. The area is approximately 9.6 mm² (rounded to one decimal place).
Solution 2
To calculate the cross-sectional area of a colony, we can use the formula for the area of a circle, which is πr².
Step 1: The diameter of the colony is given as 3.5 mm. The radius (r) is half of the diameter, so r = 3.5 mm / 2 = 1.75 mm.
Step 2: Substitute r = 1.75 mm into the formula for the area of a circle.
Area = πr² = π * (1.75 mm)² = π * 3.0625 mm² = 9.6 mm² (rounded to 1 decimal place).
So, the cross-sectional area of the colony is 9.6 mm².
Solution 3
To calculate the cross-sectional area of a colony, we can use the formula for the area of a circle, which is πr².
Step 1: First, we need to find the radius of the colony. The diameter is given as 3.5 mm, so the radius would be half of that, which is 1.75 mm.
Step 2: Next, we substitute the radius into the formula. So, the area would be π*(1.75 mm)².
Step 3: Calculate the area. The area would be approximately 9.6 mm² when rounded to one decimal place.
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