In a circle of radius 6 miles, the length of the arc that subtends a central angle of 3 radians is?

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  • Philip
    Lv 6
    4 weeks ago

    Circle radius, r, = 6 mi. Sector subtends central angle of 3 radians = (3*180/pi)°.

    Circle circumference, C, = 2pi*r = 12pi*mi. Arc length of sector = [(3*180/pi)/360]C =

    12pi[3*(180/360)/pi]mi = 18 mi.

  • 4 weeks ago

    S = θr

    S = 3rad * 6 miles = 18 miles Answer//

  • rotchm
    Lv 7
    4 weeks ago

    Arclen = Radius * angle_(in rads). Some write it as s = rθ

    You Are given the radius & angle. Just multiply. Done!

  • 4 weeks ago

    the length of the arc that subtends a central angle of 3 radians

    = 3 * length of chord subtended by angle of 60 deg. at the center.

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  • sepia
    Lv 7
    4 weeks ago

    3rad × 180/π = 171.887°

    radius = 6 miles

    arc length = 12π (171.887/360) = 18 miles

  • 4 weeks ago

    Forumla for length of a circular arc: s = r*theta

    s = 6 miles * 3 radians = 18 miles

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