Multiple choice

Find the area of a square inscribed in a circle of radius 5 cm.

  1. 25 cm2

  2. 35 cm2

  3. 50 cm2

  4. 65 cm2
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

For a square inscribed in a circle, the diagonal of the square equals the diameter of the circle. Radius = 5 cm, so diameter = 10 cm. If side = a, then diagonal = a√2 = 10, giving a = 10/√2 = 5√2 cm. Area of square = a² = (5√2)² = 25 × 2 = 50 cm².

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