area of a sector?

For a circle of radius 55.5 cm, calculate the area of a sector whose

central angle is 44.4°

6 Answers

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  • Como
    Lv 7
    1 decade ago
    Favorite Answer

    Area of circle = π x 55.5 ² cm ²

    Area of sector = (44.4 / 360) x π x 55.5 ² cm ²

    Area of sector = 1193 cm ² (to nearest whole number)

  • 1 decade ago

    Area = Pi * 55.5^2 * 44.4/360 = 1193.5 cm

  • Anonymous
    1 decade ago

    r=55.5 cm

    angle=44.4 degrees.

    180 degrees= pi radians

    1 degree = pi/180 radians

    44.4 degrees=(pi/180)X44.4 radians

    So, angle in radians=(pi/180)X44.4 radians

    The formula is

    area of sector A=(1/2)Xangle in radiansXr^2

    =(1/2)X(pi/180)X44.4X55.5^2

    =1193.48 cm^2

    (Value of pi=22/7)

    I do all these daily.

  • 1 decade ago

    Area of circle = pi * r^2

    Area of sector = (angle/360)*pi*r^2

    = 44.4/360*pi*55.5^2

    = 379.8975*pi (cm sq.)

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  • Sparks
    Lv 6
    1 decade ago

    Area of Circle = π r²

    Area of Sector = (Angle/360°) * π r²

    Area of Sector = (44∙4°/360°) * π (55∙5)²

    Area of Sector = 0∙123 333... * π (55)²

    Area of Sector = 0∙123 333... * 9,676∙890 771...

    Area of Sector = 1,193∙483 195... cm².

    Area of Sector = 0∙119 348 319 m²

  • 1 decade ago

    area 1/2 r^2 @rad = 1/2 x (55.5)^2x (44.4xpi/180)

    =1193.483195 cm^2

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