alpf
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alpf asked in Science & MathematicsMathematics · 8 years ago

Circle geometry help (area of sector)?

1. feta = 1/3 radians Area= 2 sq ft r= ?

2. r = 6 meters Area= 8 sq meters feta= ?

3. r = 3 meters feta= 120 degrees Area= ?

Thanks so much!! :)

2 Answers

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  • 8 years ago
    Favorite Answer

    i) Area of a sector of a circle is given by: A = (1/2)(lr), where l is the arc length and r is the radius of the circle;

    (or) A = (1/2)(r²θ), where r is the radius of the circle and θ is the angle of the sector in radians.

    ii) In the 1st problem, (1/2)(r²θ) = 2

    ==> (1/2)r²(1/3) = 2; ==> r² = 12

    So r = 2√3 ft

    iii) Applying the same as above, in the second, θ = 4/9 radians

    iv) In the 3rd, θ = 120*π/180 = 2π/3 [Since 180 deg = π radians]

    So A = (1/2)(9)(2π/3) = 3π sq m

  • Anonymous
    8 years ago

    Feta cheese?

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