CBSE Class 10 Mathematics Standard sample paper 2024-25: question 30(A)

Hints

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Step-by-step solution

Each step shows the marks it earns, as an examiner would award them. Checked by an independent re-solve from the question paper.

1. The minute hand turns $360^{\circ }$ in 60 minutes, so it turns $6^{\circ }$ per minute. In 35 minutes, $\theta =35\times 6^{\circ }=210^{\circ }$. The radius is $r=18$ cm.

   1 mark

2. Area swept = area of the sector $=\frac{\theta }{360^{\circ }}\times \pi r^2=\frac{210}{360}\times \frac{22}{7}\times 18\times 18$

   1 mark

3. $=\frac{7}{12}\times \frac{22}{7}\times 324=22\times 27=594{\text{cm}}^2$

   1 mark

Answer: $594{\text{cm}}^2$

Revise the chapter

• Chapter: Areas Related to Circles (notes, formulas, where marks are lost and every past question)
• Topic: Area of a Sector of a Circle