The circumference of the circle is 56.52 and the circumference of the smaller circle is 28.26 use a proportion to find the diameter of the larger circle

Where C represents the circumference and R represents the radius..The problem tells you that C = 56.52 inches and pi=3.14. Substituting these two values into the equation for the circumference results in:.56.52+=+2%2A%283.14%29%2AR.Multiply out the constants on the right side to get:.56.52+=+6.28R.Solve for R by dividing both sides of the equation by 6.28 to get:.R+=+56.52%2F6.28=9
 .The radius of the circle is 9 inches..The area of a circle is given by the formula:.A=pi%2AR%2A2.in which A represents the area, again pi+=+3.14, and for this problem R = 9 inches.Substituting the values into the equation results in:.A+=+%283.14%29%2A%289%5E2%29+=+3.14%2A81+=+254.34.The area of the circle is, therefore, 254.34 square inches. The problem tells you to roundthis to the nearest tenth of an inch. Rounding gives you the final answer of 254.3 square inches..So the answer is that the Area of this circle is 254.3 square inches..Hope this answer helps you to see your way through this problem..