Multiple choice

What is the area of the square (in cm2) whose vertices lie on a circle of radius 5 cm?

  1. 80

  2. 100

  3. 50

  4. 75
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

For a square inscribed in a circle, the diagonal equals the diameter. Diameter = 2 × radius = 2 × 5 = 10 cm. If diagonal is d, then side = d/√2, so area = (d/√2)² = d²/2 = 100/2 = 50 cm². Alternatively: side² + side² = diagonal² = 100, so 2 × side² = 100, area = side² = 50.

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