Multiple choice

Let there be a square of side 10 cm whose area is equal to the area of a circle. Find the radius of the circle.

  1. 5 cm

  2. 5.6 cm

  3. 3 cm

  4. 7 cm
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Area of square = 10 * 10 = 100. Area of circle = pi * r^2 = 100. r^2 = 100 / 3.14159 = 31.83. r = sqrt(31.83) = 5.64 cm.

AI explanation

Using the respective area formulas, the area of the square equals the area of the circle, so 10^2 = pi * r^2. Substituting pi as 22/7 gives 100 = (22/7) * r^2. Solving for r gives r = sqrt(700/22), which is approximately 5.6 centimeters.

Keep practicing — related questions