Final answer:
The area of the circle with a radius of 3×10¹⁵ cm is 2.7×10³¹ cm².
Step-by-step explanation:
To find the area of a circle, we use the formula A = πr², where A represents the area and r represents the radius. In this case, the radius is given as 3×10¹⁵ cm. Plugging this value into the formula, we get A = 3.1415927 x (3×10¹⁵ cm)². Simplifying this equation, we find that the area of the circle is 2.7×10³¹ cm². Therefore, the correct answer is option b) 2.7×10³¹ cm².