Question

A rectangular counter 3 feet wide and 5 feet long has a circle cut out of it in order to have a sink installed. The circle has a diameter of 18 inches. What is the approximate area of the remaining countertop surface? Use 3.14 for pi.

Answer 1

`13.23375 feet^2` is the approximate area of the remaining countertop surface

Explanation:

Length of the rectangular counter ,l= 5 feet

Width of the rectangular counter ,w = 3 feet

Area of the rectangular counter = A = l × w

`A=5 feet* 3 feet =15 feet^2`

Radius of the circle cut out from the rectangular counter = r

Diameter of the circle = d = 18 inches = 1.5 feet

1 inch =0.0833333 foot

`r =(d)/(2)=(1.5 feet)/(2)=0.75 feet`

Area of the circle :A'

`A'=\pi r^2=3.14* (0.75 feet)^2=1.76625 feet^2`

Area of the remaining counter-top surface: A - A'

`15 feet^2-1.76625 feet^2=13.23375 feet^2`

Answer 2

Area of the remaining countertop = original area - area of the hole.
Original area = 3 feet * 5 feet = 15 sq ft.
Area of the circle = pi*0.5(D)^2 = 1.77 sq ft
Remaining area = 13.23 sq ft