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Answer :
Answer: We know that the area of the base of a cylinder is given by the formula:
A = πr²
where A is the area of the base, π is the mathematical constant pi (approximately equal to 3.14), and r is the radius of the base.
To find the perimeter of the base, we need to know the circumference of the circle that forms the base of the cylinder. The formula for the circumference is:
C = 2πr
where C is the circumference and r is the radius.
To find the radius of the base, we can rearrange the formula for the area:
A = πr²
r² = A/π
r = √(A/π)
Substituting the given value for the area of the base, we get:
r = √(38.5/π) ≈ 3.5 m
Now, we can use the formula for the circumference to find the perimeter of the base:
C = 2πr = 2π(3.5) ≈ 22 m
Therefore, the perimeter of the base is approximately 22 meters.
Step-by-step explanation:
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