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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?

Respuesta :

Answer:

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

Step-by-step explanation:

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