On a square handkerchief, nine circular designs each of radius 7 cm are made (see the given figure). Find the area of the remaining portion of the handkerchief.

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Solution

From the figure, it can be observed that the side of the square is 42 cm.

Area of square = (Side)² = (42)² = 1764 cm²

Area of each circle = πr²

Area of 9 circles = 9 × 154 = 1386 cm²

Area of the remaining portion of the handkerchief = 1764 − 1386 = 378 cm²

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On a square handkerchief, nine circular designs each of radius 7 cm are made (see the given figure). Find the area of the remaining portion of the handkerchief.

From the figure, it can be observed that the side of the square is 42 cm. Area of square = (Side)2 = (42)2 = 1764 cm2 Area of each circle = πr2 Area of 9 circles = 9 × 154 = 1386 cm2 Area of the remaining portion of the handkerchief = 1764 − 1386 = 378 cm2

From the figure, it can be observed that the side of the square is 42 cm.

Area of square = (Side)² = (42)² = 1764 cm²

Area of each circle = πr²

Area of 9 circles = 9 × 154 = 1386 cm²

Area of the remaining portion of the handkerchief = 1764 − 1386 = 378 cm²