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17 February, 17:55

Find the radius of a circle on which a central angle measuring 2π/3 radians intercepts an arc on the circle with a length of 35π kilometers.

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  1. 17 February, 19:12
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    Radius = 105/2 km

    Step-by-step explanation:

    The formula for arc length (in radians) is Arc Length = Radius*Angle (in radians)

    The arc length is 35π km and the angle is 2π/3

    Plug in the values and solve for r

    35π = (2π/3) * r

    35π*3/2π = r

    r = 105/2 km or 52.5 km
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