Question 21 of 22intermediate🔧 ApplyNumerical3 marks

The Ashoka Chakra has 24 spokes. What is the degree measure of the angle between two spokes next to each other? What is the largest acute angle formed between two spokes?

Correct Answer

Given: Full circle = 360° Number of spokes = 24

Calculation: Angle between adjacent spokes = 360° ÷ 24 = 15°

Finding largest acute angle: Acute angles are less than 90° 90° ÷ 15° = 6, so 6 spokes apart = 90° (right angle) Largest acute angle = 5×155 \times 15° = 75°

Answer: Angle between adjacent spokes = 15° Largest acute angle = 75°

Exercise: Figure it Out (Section 11) | Q: 6 | (Page Page 41)
For More Understanding

Explanation

The chapter explains that a full circle is 360°. The Ashoka Chakra has 24 spokes equally spaced around the circle. To find the angle between adjacent spokes, divide 360° by 24. For the largest acute angle, we need the largest angle less than 90°. Since 90° ÷ 15° = 6, the angle of 6 spokes apart would be exactly 90° (a right angle). So the largest acute angle is 5 spokes apart, which is 5×155 \times 15° = 75°.

Solution Steps

  1. Step 1: Full circle = 360°.

  2. Step 2: Number of spokes = 24.

  3. Step 3: Angle between adjacent spokes = 360° ÷ 24 = 15°.

  4. Step 4: Acute angles are less than 90°.

  5. Step 5: 90° ÷ 15° = 6, so 6 spokes apart = 90° (right angle).

  6. Step 6: Largest acute angle = 5×155 \times 15° = 75°.

PreviousNext