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    If the sectorial angle with radius 9.6 units is 75°, what is the length of the arc?
    Question

    If the sectorial angle with radius 9.6 units is 75°, what is the length of the arc?

    A.


    B.


    C.

    π

    D.


    Correct option is B

    Given:

    Radius of the circle: 9.6 units
    Angle at the center: 75°
    Formula Used:
    Length of arc=(θ360)×2πr\text{Length of arc} = \left(\frac{\theta}{360^\circ}\right) \times 2\pi r​​
    Solution:
    Length of arc=(75360)×2×π×9.6=c\text{Length of arc} = \left(\frac{75}{360}\right) \times 2 \times \pi \times 9.6 = c​​
    Therefore, the length of the arc is 4π4\pi units.

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