If the radius of a circle is double, how is the length of the arc intercepted by a fixed central angle changed?

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Answer 1 · 2018-05-02T22:12:16

I tried this:

The arc length #s# depends upon the radius #r# and angle (in radians) #theta# as:

#s=rtheta#

let us change the radius:

#s'=r'theta#

but #r'=2r# so we get:

#s'=2rtheta#

bur #rtheta=s#

so:

#s'=2s#

the arc length doubles as well!