NCERT Exemplar Solutions
Class 6 - Mathematics - Unit 2: Geometry - Multiple Choice Questions

Question 4

Step-by-step explanation (beginner friendly)

• At 9:00, the minute hand points at 12.
• At 9:00, the hour hand points at 9.
• Each number gap on the clock equals \(30^{\circ}\) because \(360^{\circ} \div 12 = 30^{\circ}\).
• The hands are 3 number gaps apart: from 9 to 12 is 3 steps.
• Smaller angle:
  \(3 \times 30^{\circ} = 90^{\circ}\)
• The clock makes a full circle of
  \(360^{\circ}\)
• Larger (reflex) angle:
  \(360^{\circ} - 90^{\circ} = 270^{\circ}\)

So, the two angles are \(90^{\circ}\) and \(270^{\circ}\).