freemanhaleigh freemanhaleigh

01-04-2021
Mathematics

contestada

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

Respuesta :

altavistard altavistard

04-04-2021

Answer:

47.14 m²

Step-by-step 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

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