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23 January, 15:40

Find the radius of a circle in which the central angle of (pie / 4) radian determines a sector with an area of 86m^2

A-14.80m

B-20.92m

C-68.44 m

D - 10.46m

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Answers (1)
  1. 23 January, 15:47
    0
    Area of sector = 1/2 * r^2 * x where r = radius and x = angle in radians

    86 = 1/2 * r^2 * pi/4

    r^2 = 2 * 86 * 4 / pi = 219

    r = sqrt 219

    = 14.80
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