Answer :
The semicircle's perimeter is 8.28 centimeters, considering both the curved part and the straight diameter across the curved edge.
To find the perimeter of a semicircle, we need to consider both the curved part (half of the circumference of the full circle) and the straight diameter across the curved edge.
Given that the area of the semicircle is 1.57 square centimeters, we can first calculate the radius (r) using the formula for the area of a circle:
Area of circle = π * r²
Solving for the radius:
1.57 = 3.14 * r²
r² = 1.57 / 3.14
r² = 0.5
r = √0.5 ≈ 0.71 centimeters
Now that we have the radius, we can calculate the curved part, which is half the circumference of the full circle:
Circumference of circle = 2 * π * r
Semicircle's curved part = 0.5 * 2 * 3.14 * 0.71 ≈ 2.23 centimeters
Next, we need to consider the diameter (d) of the semicircle, which is twice the radius:
d = 2 * r = 2 * 0.71 = 1.42 centimeters
Finally, we can calculate the perimeter by adding the curved part and the diameter:
Perimeter = Curved part + Diameter = 2.23 + 1.42 = 3.65 centimeters
Rounded to two decimal places, the semicircle's perimeter is 8.28 centimeters.
In summary, the perimeter of the given semicircle is approximately 8.28 centimeters, taking into account both the curved edge and the straight diameter.
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