Final answer:
The area of a circle with a diameter of 3.102 cm is approximately 7.55 cm². This is calculated using the formula for the area of a circle, Area = πr², where r is the radius of the circle.
Step-by-step explanation:
The area of a circle can be determined using the formula Area = πr², where π is a constant approximately equal to 3.14, and r is the radius of the circle. First, we need to determine the radius. The radius of a circle is half its diameter, so for a circle with a diameter of 3.102 cm, the radius would be 3.102 cm divided by 2, which equals 1.551 cm. Then, plugging the radius into our formula, we obtain Area = π x (1.551 cm)² = π x 2.403601 cm² = 7.55 cm² (rounded to the nearest hundredth). So, the area of a circle with a diameter of 3.102 cm is approximately 7.55 cm².
Learn more about Area of a Circle