Circular sector

I have a circular sector with a length of 15 cm with an unknown central angle. It is created from a circle with a radius of 5 cm. What is the central angle alpha in the circular sector?

Correct answer:

α =  57.2958 °

Step-by-step explanation:

o=15 cm  2r+α r = o = 15  cm r=5 cm  β=(o2 r)/r=(152 5)/5=1 rad α=β  °=β π180   °=1 π180   °=57.296  °=57.2958=57°1745"

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