CBSE Class 10 Mathematics Standard 2024: question 22(a)

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. In 60 minutes the minute hand turns $360^{\circ }$, so in 5 minutes it turns $\theta =\frac{360^{\circ }}{60}\times 5=30^{\circ }$.

   ½ mark

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

   1 mark

3. $=\frac{154}{3}{\text{cm}}^2\approx 51.33{\text{cm}}^2$

   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