Rachel custom-ordered a giant 8-inch cookie. The bakery delivered two 5-inch cookies due to a system error. When Rachel complained that she received less amount than she ordered, the bakery owner said the customer was given 2 cookies of 5 inches which is greater than 8 inches. Find the difference between the areas of the cookie ordered and the cookie received? (Use $\mathrm{\pi }=3.14$)

If the size of the cookie is 8 inches, then the diameter is 8 inches.

$\therefore$Radius = 4 inches

The area of a circle is = πr₁²

$\therefore$ Area of the larger cookie

= 3.14 × 4 × 4

= 50.24 square inches

If the size of the cookie is 4 inches, then the diameter is 4 inch

$\therefore$Radius = 2 inches

Similarly,

Area of smaller cookie =  πr₂²

= 3.14 × 2 × 2

= 12.56 square inches

Therefore, the area of the two 4-inch cookies Area is.

12.56 + 12. 56 = 25.12

But the area of an 8-inch cookie was 50.24 square units.

$\therefore$ The difference between the areas of the cookie ordered and the cookie received:

= 50.24 - 25.12

= 25.12 square inches.

Hence the customer does not get more cookies. The bakery owner’s claim is incorrect.