Anonymous
Anonymous asked in Science & MathematicsMathematics · 1 year ago

On a circle, a 210degree angle forms an arc with a length of 150cm. To the nearest tenth of a cm, the radius of the circle is?

6 Answers

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  • TomV
    Lv 7
    1 year ago
    Favorite Answer

    s = rΘ : Θ measured in radians

    r = 150/Θ = 150/(210π/180) ≈ 40.9cm

    Ans: 40.9 cm

  • Como
    Lv 7
    1 year ago

    :-

    210/360 x C = 150

    C = 36/21 x 150

    C = 12/7 x 150

    C = 1800/7

    C = 257•1 cm

    2π r = 257•1

    r = 257•1/(2π)

    r = 41.0 cm

  • 1 year ago

    Let’s determine the fraction of a circle.

    Fraction = 210 ÷ 360 = 7/12

    150 centimeters is 7/12th of the circle. To determine the circumference of this circle, divide 150 cm by this fraction.

    Circumference = 150 * 12/7 = 1,800/7

    This is approximately 257 centimeters. To determine the radius of the circle, divide the circumferemce by 2 * π.

    r = 1,800/7 ÷ (2 * π) = 900 ÷ 7π

    This is approximately 40.9 centimeters. I hope this is helpful for you.

  • Mike G
    Lv 7
    1 year ago

    210° = 210π/180 = 7π/6 radians

    7πr/6 = 150

    r = 40.9 cm

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  • God
    Lv 7
    1 year ago

    150 x 360/210=circumference of circle = 257.1 cm

    2Pir= circumference of circle = 257.1 cm

    2 x 3.14159 x r = 257.1

    r = 40.9cm

  • 1 year ago

    ((360/210 x 150) / pi) / 2 = 40.9255568

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