Final answer:
The area of a circle with diameter 3.102 cm is approximately 7.56 cm².
Step-by-step explanation:
The area of a circle can be found using the formula A = πr², where r is the radius of the circle. In this case, the diameter of the circle is given as 3.102 cm. The radius is half the diameter, so the radius would be 3.102 cm / 2 = 1.551 cm.
Substitute the value of the radius into the formula A = πr². A = 3.1415927... × (1.551 cm)² = 7.525 cm².
Rounding to two significant figures, the area of the circle is approximately 7.56 cm², so the correct answer is option a) 7.56 cm².