CBSE · Class 10 · Mathematics · Areas Related to CirclesIf the circumference of a circle is 44 cm, then its area is:
Step-by-Step Solution
The circumference of the circle is given as $2\pi r = 44$. Therefore, $2 \times \frac{22}{7} \times r = 44$, which gives $r = 7$ cm. The area of the circle is $\pi r^2 = \frac{22}{7} \times 7 \times 7 = 154\text{ cm}^2$.
Detailed Options Breakdown
Option : 154 sq. cm (Correct Answer)
Correct choice. Refer to the step-by-step verified solution guidelines above for details.
Option 1: 44 sq. cm
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Areas Related to Circles.
Option 2: 88 sq. cm
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Areas Related to Circles.
Option 3: 22 sq. cm
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.