The square surface cover shown in the figure is 10.16 centimeters on each side. The knockout in the center of the cover has a diameter of 1.27 centimeters. Find the area of the cover to the nearest hundredth centimeter.

Braxton Pugh

Braxton Pugh

Answered question

2020-11-08

The square surface cover shown in the figure is 10.16 centimeters on each side. The knockout in the center of the cover has a diameter of 1.27 centimeters. Find the area of the cover to the nearest hundredth centimeter.

Answer & Explanation

berggansS

berggansS

Skilled2020-11-09Added 91 answers

The area of the cover is equal to the square's area less the circle's area: Acover=Asquare-Acircle Acover=82πd24
Substitute s=10.16 cm and d=1.27 cm: Acover=10.162(π(1.27)24)
Calculate the distance to the nearest hundredth of a centimeter (2 decimal places):
Acover≈101.96 cm

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