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

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 

Answer 2

Answer:

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

Step-by-step 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

$A=5 feet\times 3 feet =15 feet^2$

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

$r =\frac{d}{2}=\frac{1.5 feet}{2}=0.75 feet$

Area of the circle :A'

$A'=\pi r^2=3.14\times (0.75 feet)^2=1.76625 feet^2$

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

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