Multiple choice

The diameter of a circle is equal to the side of the square. What is the area of the square if the area of the circle is 154 sq. cm?

  1. 196 sq. cm

  2. 154 sq. cm

  3. 124 sq. cm

  4. 98 sq. cm
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A Correct answer
Explanation

The area of the circle is pi*r^2 = 154. Using pi = 22/7, r^2 = 154 * 7 / 22 = 49, so r = 7. The diameter is 2r = 14. Since the diameter equals the side of the square, the side length is 14. The area of the square is 14^2 = 196.

AI explanation

Using the area of a circle formula, 154 equals pi times r squared, which yields a radius of 7 centimeters. The diameter is twice the radius, making it 14 centimeters. Since the side of the square equals the diameter of the circle, its area is 14 squared, which equals 196 square centimeters. The area is 196 square centimeters.

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