Multiple choice

From a square sheet of paper of side 21 cm, four quarter circular regions of radius 10.5 cm are removed. Find the area of remaining portion.

  1. 104.5 cm2

  2. 441 cm2

  3. 94.5 cm2

  4. 346.5 cm2
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Area of square = 21 x 21 = 441 cm2 Area of four quarter circular regions of radius 10.5 cm = 4 x [1/4 x 22/7 x 21 /2 x 21/2] cm2= 693/2 cm2 Area of remaining region = (441 - 693/2) cm2 = 189/2 = 94.5 cm2

AI explanation

The square has area 21×21 = 441 cm². The four quarter circles of radius 10.5 cm together form one full circle, with area π(10.5)² = (22/7)(110.25) = 346.5 cm². Subtracting this from the square's area gives 441 – 346.5 = 94.5 cm² remaining.

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