CBSE · Class 10 · Mathematics · Areas Related to CirclesThe area of the circle that can be inscribed in a square of side 6 cm is:
Step-by-Step Solution
The side of the square is 6 cm, so the diameter of the inscribed circle is equal to the side of the square, i.e., $d = 6$ cm. Therefore, the radius $r = 3$ cm. Area $= \pi r^2 = \pi (3)^2 = 9\pi\text{ cm}^2$.
Detailed Options Breakdown
Option : 36\pi\text{ cm}^2
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Areas Related to Circles.
Option 1: 18\pi\text{ cm}^2
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Areas Related to Circles.
Option 2: 9\pi\text{ cm}^2 (Correct Answer)
Correct choice. Refer to the step-by-step verified solution guidelines above for details.
Option 3: 3\pi\text{ cm}^2
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Areas Related to Circles.
💡 Study Guide: This question tests core syllabus concepts from Areas Related to Circles. For formulas, key summaries, and mock exam reference guides, read the full Areas Related to Circles Revision Notes.