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25 votes
25 votes
The radius of a circle is 6 meters. What is the area of a sector bounded by a 150 arc

User Kartik Trivedi
by
2.8k points

1 Answer

16 votes
16 votes

Answer:

47.14 m²

Explanation:

Recall that the central angle of a full circle is 2π radians or 360°. The area of the sector bounded by a 150° arc is the fraction

150°

------- times the area of the full circle (πr²):

360°

(15/36)π(6m)² = 0.417(3.14)(36 m² = 47.14 m²

User Job M
by
2.6k points
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