Final answer:
The area of a circle with a diameter of 3.102 cm is approximately 7.55 cm².
Step-by-step explanation:
The diameter of a circle is twice the length of its radius. So, if the diameter is 3.102 cm, the radius would be half of that, which is 1.551 cm.
The formula for the area of a circle is A = πr². Plugging in the value of the radius, we get A = 3.1415927... × (1.551 cm)².
Using a calculator with an eight-digit output, the calculated value is 7.5450594... cm². However, since the radius has only three significant figures, we should limit the answer to three significant figures as well. Therefore, the area of the circle is approximately 7.55 cm².