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Vesnalui [34]
3 years ago
9

FROM A SQUARE SHEET OF CARDBOARD OF SIDE 20cm ,SECTORS OF ECAH RADIUS 7cm IS CUT OFF FROM EACH CORNER.THEN AREA OF REST OF THE C

ARDBOARD IS
Mathematics
1 answer:
VikaD [51]3 years ago
3 0

Answer:

246 cm^2

Step-by-step explanation:

Area of the rest of cardboard = Area of square - Area of the 4 sectors

Kindly note that at each corner of the cardboard, the angle is 90 degrees

Area of square = L^2 = 20^2 = 400 cm^2

Area of a sector = theta/360 * pi * r^2

Since we have 4 sectors;

Area of sectors =4 * 90/360 * 22/7 * 7 * 7

= 22/7 * 49 = 22 * 7 = 154 cm^2

Area of the remaining part of cardboard = 400 cm^2 - 154 cm^2 = 246 cm^2

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