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Area of a Segment. Radius is 8cm and Central Angle is 2 degrees?

find the area of a circular "segment" of a circle of radius 8cm that subtends a central angle of 2 degrees.

i keep getting something like 2.0e^-4

here is what i'm doing

S = ((r^2)/2)((x - sin(x))

2 degrees = pi/90

S = (64/2)((pi/90) - sin(pi/90)) =

what exactly am i doing wrong. the question says to round to the nearest whole number.

4 Answers

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  • Anonymous
    1 decade ago
    Favorite Answer

    I am not exactly sure what formula you are using, but you should be using:

    A = (1/2)r^2θ, where θ is in radians.

    Since r = 8 cm and θ = 2° = π/90, the area of the sector is:

    A = (1/2)r^2θ

    = (1/2)(8)^2(π/90)

    = 16π/45

    ≈ 1.12 cm^2.

    I hope this helps!

  • Anonymous
    1 decade ago

    I'll be using degrees, not radians (since the given is in degrees)

    (Assuming you mean a pizza-slice shaped "segment")

    2 / 360 = x / (π(8)²)

    2 / 360 = x / (64π)

    Multiply by 64π to both fractions

    2(64π) / 360 = x

    128π / 360 = x

    16π / 45 = x

    x ≈ 1.12 cm²

    The segment has an area of approximately 1.12cm²

  • Anonymous
    5 years ago

    the area of a circle is pi*R^2 A circle has 360 stages so a hundred and twenty stages is a million/3 of an entire circle the area of the area is then (a million/3) the area of the circle area of sector = (a million/3)piR^2 = (a million/3)pi*36 = 12pi cm^2 area of sector = 37.7 cm^2

  • 1 decade ago

    you're doing it right round it to 2

    Source(s): Brain
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