If the radius (r) of a circle is increased by 'x' units, what is the number of units by which the circumference of the circle is increased?
Circumference of circle =Â $$2\pi\ r$$
Circumference of circle when radius increased by x =Â $$2\pi\ \left(r+x\right)=2\pi\ r+2\pi\ x$$
Hence, circumference of the circle increased by $$2\pi x$$ units.
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