find the measure of the intercepted arc in terms of pi in a circle with a diameter 60 inches and central angle of 72 degrees.?

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  • Mike G
    Lv 7
    1 year ago
    Favorite Answer

    r = 30 inches

    θ = 2π/5

    arc = rθ = 12π inches

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  • 1 year ago

    Circumference is 60 pi inches.

    Arc length is (72/360)*(60 pi) = 12 pi inches.

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  • DWRead
    Lv 7
    1 year ago

    radius r = 30 inches

    θ = 72°×2π radians/360° = ⅖π radians

    arc length = rθ = 30 in × ⅖π = 12π inches ≅ 37.7 inches

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  • 1 year ago

    Convert 72° to radians by multiplying by π/180°

    = 72°* π/180°

    = 2π/5

    Then to get the arc length, just multiply the angle (in radians) by the radius.

    60 * 2π/5

    = 24π inches

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