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.
Area of the remaining countertop = original area - area of the hole.
Original area = 3 feet 5 feet = 15 sq ft.
Area of the circle = pi0.5(D)^2 = 1.77 sq ft
Remaining area = 13.23 sq ft
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'
\(15 feet^2-1.76625 feet^2=13.23375 feet^2\)