Answer :
Answer:
The length of the arc GH is approximately 3.14 meters (or π)
Step-by-step explanation:
The length of an arc whose measure equals the measure of the central angle Ф and the radius of the circle r is:
- L = (Ф ÷ 360°) × 2π r
Let us solve the question using the rule above
∵ The measure of arc GH is 30°
∴ Ф = 30°
∵ The radius is 6 meters
∴ r = 6 meters
→ Substitute them in the rule above
∵ L = (30° ÷ 360°) × 2π × 6
∴ L = [tex]\frac{1}{12}[/tex] × 12π
∴ L = π
→ Use π ≈ 3.14
∴ L ≈ 3.14
∴ The length of the arc GH is approximately 3.14 meters (or π)