The area of the circle that can be inscribed in a square of side 6 cm is: Option 1: 36 π Option 2: 18 π Option 3: 12 π Option 4: 9 π

Answer: 9 π. Solution: 1) For a circle inscribed in a square: - The diameter of the circle equals the side of the square - Therefore, d = 6 cm - So radius r = 3 cm 2) Area of circle formula: = πr^2 = π(3)^2 = 9π cm² 3) Therefore, the area of the inscribed circle is 9π cm².

Geometry

Circles

Easy

The area of the circle that can be inscribed in a square of side 6 cm is:

36 π

18 π

12 π

9 π

✅ Correct Option: 4

For a circle inscribed in a square:

The diameter of the circle equals the side of the square
- Therefore, $d = 6$ cm
- So radius $r = 3$ cm

Area of circle formula:

= $πr^2$

= $π(3)^2$

= $9π$ cm²

Therefore, the area of the inscribed circle is $9π$ cm².

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