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If the measure of GH is 30° and the radius is 6 meters, what is the arc length of GH?

User Phedoreanu
by
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1 Answer

6 votes

Answer:

The length of the arc GH is approximately 3.14 meters (or π)

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 =
(1)/(12) × 12π

L = π

→ Use π ≈ 3.14

L ≈ 3.14

The length of the arc GH is approximately 3.14 meters (or π)

User Jacob Stevenson
by
7.1k points
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