CBSE Class 10 Mathematics Basic 2024: question 30(b)

Hints

Open one hint at a time and try again before the next.

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 in 5 minutes it turns $\frac{360^{\circ }}{60}\times 5=30^{\circ }$.

   1 mark

2. Area swept $=\frac{\theta }{360^{\circ }}\pi r^2=\frac{30}{360}\times \frac{22}{7}\times 14\times 14$

   1½ marks

3. $=\frac{154}{3}$ cm² $\approx 51.33$ cm²

   ½ mark

Answer: $\frac{154}{3}$ cm² ≈ 51.33 cm²

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