Ascale model of a merry-go-round and the actual merry-go-round are similar. a. how many times greater is the base area of the actual merry-go-round than the base area of the scale model? explain. the ratio of the corresponding lengths is : 1. so, the ratio of the areas is : 1 and the base area of the actual merry-go-round is times greater than the base area of the scale model. b. what is the base area of the actual merry-go-round in square feet? the base area of the actual merry-go-round is square feet.

Part A:

Given that the base radius of the scale model is 6 in while the base radius of the actual merry-go-round is 10 ft = 10 x 12 = 120 in.

The ratio of the radius of the actual merry-go-round to the radius of the scale model of the merry-go-round is given by 120 : 6 = 20 : 1.

The ratio of the area of the actual merry-go-round to the area of the scale model of the merry-go-round is given by .

Therefore, the base area of the actual merry-go-round is 400 times greater than the base area of the scale model.

Part B:

The base area of the merry-go-round is in the shape of a circle.

The area of a circle is given by

Given that the radius of the actual merry-go-round is 10 ft.

Therefore, the base area of the actual merry-go-round is given by