Shown below is a culture of bacteria growing on an agar plate.The diameter of one of the colonies is 7 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 7 mm.Calculate its cross-sectional area._____ mm2Write your answer to 1 decimal place.
Solution 1
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 7 mm, so the radius would be half of that, which is 3.5 mm.
Step 2: Next, we substitute the radius into the formula. So, Area = π * (3.5 mm)².
Step 3: Calculate the area. Area = 3.14159 * (3.5 mm)² = 38.4845 mm².
Step 4: Round the answer to 1 decimal place. So, the cross-sectional area of the colony is 38.5 mm².
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: First, we need to find the radius of the colony. The diameter is given as 7 mm, so the radius would be half of that, which is 3.5 mm.
Step 2: Next, we substitute the radius into the formula. So, Area = π(3.5 mm)².
Step 3: Calculate the area. Area = 3.14159 * (3.5 mm)² = 38.4845 mm².
Step 4: Round the answer to 1 decimal place. So, the cross-sectional area of the colony is 38.5 mm².
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