Workshops geometra

Geometry Level pending

A certain machine contains two tangential circular wheels ; one of radius 3 cm.and the other of radius 9 cm. The manufacturer of this machine needs to produce a belt that will fit perfectly around the two wheels , as shown below. How long should the belt be ?

If the belt length was found to be aπ + b√3 . where a,b are positive integers, find a + b .

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