Multiple choice

The circumference of a circles is 44 cm. Then the length of side of a squares inscribes in the circle is ______cm.

  1. $\dfrac { 44 }{ t } $
  2. $7\sqrt { 2 } $
  3. $14\sqrt { 2 } $
  4. $\dfrac { 7\sqrt { 2 } }{ 2 } $
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Using circumference = 2pi r and pi = 22/7, the radius is 7 cm, so the diameter is 14 cm. The diameter is the diagonal of the inscribed square, so its side is 14/sqrt(2) = 7sqrt(2) cm.

AI explanation

The circumference of the circle is 44 cm, so using the formula C = 2 * pi * r, we have 2 * (22/7) * r = 44, which gives r = 7 cm. The diagonal of an inscribed square acts as the diameter of the circle, so the diagonal is 14 cm. Using the relation between the side and diagonal of a square, d = a * sqrt(2), we get 14 = a * sqrt(2). Therefore, the side of the square is 14 / sqrt(2), which simplifies to 7 * sqrt(2) cm.

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