Multiple choice

The area of the biggest circle that can be drawn inside a square of side 21 cm is $\displaystyle \left ( Take\, \pi =\frac{22}{7} \right )$

  1. $344.5$ sq cm
  2. $364.5$ sq cm
  3. $346.5$ sq cm
  4. $366.5$ sq cm
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

The largest circle inside a square has a diameter equal to the side of the square (21 cm). Radius r = 10.5 cm. Area = pi * r^2 = (22/7) * 10.5 * 10.5 = 22 * 1.5 * 10.5 = 346.5 sq cm.

AI explanation

The diameter of the biggest circle inside a square equals the side of the square, so the radius is 21 divided by 2 or 10.5 cm. The area equals pi times the square of the radius, so 22 divided by 7 times 10.5 times 10.5 equals 346.5 square cm.

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