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Kevin is remodeling his bathroom. He needs to cut a circular hole out of a countertop to place the sink, as shown in the figure. What will be the area of the countertop once Kevin cuts the hole, to the nearest square inch? Use 3.14 as an approximation for pi.

Kevin Is Remodeling His Bathroom He Needs To Cut A Circular Hole Out Of A Countertop To Place The Sink As Shown In The Figure What Will Be The Area Of The Count class=

Sagot :

Answer:

838 inchesΒ²

Step-by-step explanation:

Finding the area of the countertop including the hole

β‡’ Area of countertop including hole: LB

β‡’ Area of countertop including hole: (24)(48)

β‡’ Area of countertop including hole: 1152 inchesΒ²

Finding the area of the hole (sink)

β‡’ Area of hole: Ο€rΒ²

β‡’ Area of hole: (Ο€)(D/2)Β²

β‡’ Area of hole: (Ο€)(20/2)Β²

β‡’ Area of hole: (Ο€)(10)Β²

β‡’ Area of hole: (Ο€) x 100

β‡’ Area of hole: 3.14 x 100 = 314 inchesΒ²

Finding the area excluding the hole

1152 - 314 = Area of countertop (excluding the hole)

838 inchesΒ² = Area of countertop (excluding the hole)

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