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19 April, 21:21

A circle has a radius of 6 ft.

What is the area of the sector formed by a central angle measuring 5π3 radians?

Use 3.14 for pi.

Enter your answer as a decimal

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Answers (1)
  1. 19 April, 21:49
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    I'm assuming that 5π3 is in fact 5π/3

    convert radian to degrees:

    5π / 3 = 5 (180°) / 3 = 900° / 3 = 300°

    Area of the circle = π r²

    A = 3.14 * (6 ft) ²

    A = 3.14 * 36 ft²

    A = 113.04 ft²

    Area of the sector:

    113.04 ft² * 300°/360° = 94.2 ft²

    The area of the sector formed by a central angle measuring 5π/3 radian is 94.2 ft²
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