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17 November, 07:15

A central angle of a circle whose radius is 25 centimeters subtends an arc whose length is 5π/12 centimeters.

What is the radian measure of the central angle?

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  1. 17 November, 07:25
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    central angle/full circle = arc length/circumference

    Θ/2π = (5π/12 cm) / (2π * 25 cm)

    Θ = 2π (5π/12 cm) / (2π * 25 cm)

    = (2π) (5π cm) / (12) (2π) (25 cm)

    = π/60
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