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7 February, 15:07

You have a perfectly circular apple pie with a radius of 15cm. You cut the pie into 12 approximately equal slices. What is the arc length (linear length) and angular displacement of each slice's crust?

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  1. 7 February, 15:36
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    7.85 cm

    30 degree

    Explanation:

    As we know that that the angular displacement in one turn is 360 degree.

    As there are 12 parts which are equally divided so the angle turn by each part is

    = 360 / 12 = 30 degree

    Thus, the angular displacement of each slice is 30 degree.

    Radius of pie = 15 cm

    Circumference of pie = 2 x 3.14 x 15 = 94.2 cm

    Arc length for complete 360 degree = 94.2 cm

    Arc length for 30 degree turn = 94.2 x 30 / 360 = 7.85 cm
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