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Answer 1 · 2015-11-14T13:44:19

#r=7.5cm#, #A=56.25 cm^2#

An angle of #1rad# subtends an arc of length equal to radius #r#, so if an angle #2rad# subtends an arc #15cm#, then #r=15/2=7.5#

To calculate the area you can use the proportion:

#(2pi)/(pi*r^2)=2/x#, so:

#1/r^2=1/x#

#x=r^2#

#x=7.5^2#

#x=56.25#