MP Board · Class 10 · Mathematics · Areas Related to CirclesIf the perimeter and the area of a circle are numerically equal, then the radius of the circle is:
Step-by-Step Solution
According to the question, $2\pi r = \pi r^2$. Dividing both sides by $\pi r$ (since $r \neq 0$), we get $2 = r$. Therefore, the radius is 2 units.
Detailed Options Breakdown
Option : 2 units (Correct Answer)
Correct choice. Refer to the step-by-step verified solution guidelines above for details.
Option 1: \pi units
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Areas Related to Circles.
Option 2: 4 units
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Areas Related to Circles.
Option 3: 7 units
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.