Multiple choice

On a square handkerchief of side 42 cm nine circular designs each of radius $7cm$ are made. Find the area of the remainig portion of the handkirchief

  1. $358cm^2$
  2. $308cm^2$
  3. $378cm^2$
  4. $178cm^2$
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

The handkerchief area is 42 x 42 = 1764 cm^2. The nine circles have total area 9 x (22/7) x 7 x 7 = 1386 cm^2. The remaining area is 1764 - 1386 = 378 cm^2.

AI explanation

The area of the square handkerchief is side squared, giving 42 * 42 = 1764 sq. cm. The combined area of the nine circular designs is 9 multiplied by pi * r squared, which is 9 * (22/7) * 7 * 7 = 1386 sq. cm. Subtracting the circles' area from the square's area yields 1764 - 1386 = 378 sq. cm.

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