Question 442787
The area of the large cake is 200 in^2, so we can say that


*[tex \LARGE \pi r^2 = 200 in^2]


The small cake has a radius of r/2, so the area of the small cake is


*[tex \LARGE \pi (\frac{r}{2})^2 = \frac{\pi r^2}{4} = \frac{200}{4} = 50 in^2]