Final answer:
The area of a semicircle with a radius of 4 cm is approximately 25.13 cm². This calculation is made by first finding the area of the full circle using the formula A = πr² and then taking half of that value.
Step-by-step explanation:
The question pertains to finding the area of a semicircle when the radius is given. To calculate the area of a full circle, the formula is A = πr², where A is the area and r is the radius. Since we are looking for the area of a semicircle, we would take half of the area of the full circle.
The radius of the semicircle in question is 4 centimeters.
To find the area of the full circle, we would use the formula: A = π × (4 cm)².
This results in an area of A = π × 16 cm².
To get the area of the semicircle, we simply halve this value:
Area of Semicircle = (1/2) × π × (4 cm)²
Area of Semicircle = π × 8 cm² = 3.1415927 × 8 cm² ≈ 25.13 cm²