MP Board · Class 10 · Mathematics · Areas Related to CirclesThe length of an arc of a sector of angle $\theta$ in a circle of radius $r$ is:
Step-by-Step Solution
The formula for the length of an arc of a sector subtending an angle $\theta$ at the centre is $\frac{\theta}{360^\circ} \times 2\pi r$.
Detailed Options Breakdown
Option : \frac{\theta}{180^\circ} \pi r (Correct Answer)
Correct choice. Refer to the step-by-step verified solution guidelines above for details.
Option 1: \frac{\theta}{360^\circ} \pi r^2
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Areas Related to Circles.
Option 2: \frac{\theta}{180^\circ} \pi r^2
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Areas Related to Circles.
Option 3: \frac{\theta}{360^\circ} \pi r
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.