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14 January, 15:55

A radar system has been set up to track approaching weather storms. The radar is set to reach 350 miles and cover an arc of 150 degrees. Find the arc length and the area of the sector that the radar covers

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  1. 14 January, 16:05
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    Circumference of the circle = 2 * PI * radius

    Circumference of the circle = 2 * PI * 350

    Circumference of the circle = 2,199.115

    Arc length = (150/360) * 2,199.115

    Arc length = 916. 3 miles

    Circle Area = PI * radius^2

    Circle Area = PI * 350*350

    Circle Area = 384,845.1

    Sector Area = (150/360) * 384,845.1

    Sector Area = 160,352.13 square miles
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