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20 November, 12:40

A sector with a central angle measure of 4pi/5

(in radians) has a radius of 5 cm.

What is the area of the sector?

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Answers (1)
  1. 20 November, 13:09
    0
    Answer: the area is 20 square centimeters.

    Step-by-step explanation:

    The area of an arc of angle x in a circle of radius r is:

    A = (x/3.14) * 3.14*r^2 = x*r^2

    here we have x = (4/5) * 3.14 and r = 5cm

    Then the area is:

    A = (4/5) * (5cm) ^2 = 20cm^2
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