Toni’s table is 96 inches in diameter. If she covers her circular table with a table cloth that extends 6 inches over the edge of the table, what is the area of the table cloth? Leave your answer in terms of π.

Respuesta :

Answer:

2916π in^2

Step-by-step explanation:

Step one:

given data

initial table diamter= 96in

we are told that the extension is 6 in over the edge

the new diameter is = 96+6+6= 108in

the radius is = 108/2=54in

we added 6 twice because it will be on the two sides of the diameter

Step two:

the expression for the area is

Area= πr^2

Area=  π*54^2

Area= 2916π in^2