Circle arc

A circular sector has an arc length of 9.08 km and an area of 58.99 km². Calculate the radius of the circle and the size of the central angle.

Final Answer:

r =  12.9934 km
α =  40 °

Step-by-step explanation:

o=9.08 km S=58.99 km2  a r=o r2 a/2=S  r2 (o/r)/2=S r2 (9.08/r)/2=58.99  9.08r=117.98  r=9.08117.98=12.99339207  r=454589912.993392=12.9934 km
a=o/r=9.08/12.99340.6988 rad  α=a  °=a π180   °=0.6988 π180   °=40  °=40=40°221"



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