MP Board · Class 10 · Mathematics · Areas Related to CirclesIf the radius of a circle is doubled, its area becomes:
Step-by-Step Solution
Original area $A_1 = \pi r^2$. New radius $= 2r$. New area $A_2 = \pi (2r)^2 = 4\pi r^2 = 4 A_1$. Thus, the area becomes 4 times.
Detailed Options Breakdown
Option : 2 times
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Areas Related to Circles.
Option 1: 4 times (Correct Answer)
Correct choice. Refer to the step-by-step verified solution guidelines above for details.
Option 2: 3 times
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Areas Related to Circles.
Option 3: 8 times
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.