Question

A certain bakery sells two sizes of round cakes. The radius of the large cake is 3 times the radius of the small cake. If the top of the large cake has an area of 261 in?, what is the area of the top of the small cake?​

Answer 1

Let R be the radius of the large cake.
R x R x π = 261
R² = 83.078
R = 9.11

Small cake radius = 9.11/3
small cake radius = 3.038

Area of small cake = 3.038 x 3.038 x π
Area of small cake = 29 in²