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16 March, 03:54

The tip of a 15-inch wiper blade wipes a path that is 36 inches long. What is the angle of rotation of the blade in radians to the nearest tenth?

2.4 radians

1.2 radians

2.8 radians

0.4 radians

+5
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  1. 16 March, 03:57
    0
    The length of the arc is a fraction of the circumference of the circle depending on the length of the radius and the intercepted angle. This can be calculated through the equation,

    L = (2πr) x (θ / 360)

    where L is the length of arc, r is the radius, and θ is the intercepted angle in terms of degrees.

    Substituting the known values to the equation,

    36 = (2π) (15) x (θ / 360)

    We translate the equation to find the value of θ,

    θ = (36) (360) / 2π (15)

    The value of θ is equal to 137.51°.

    This can be coverted to radians through the equation below,

    θ (in radians) = 137.51° x (2π rad / 360°) = 2.4 rad
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