Question 915189
Amount of arc can come from circumference.
The circumference of the circle is {{{2*pi*7}}}, and you should know amount of rotation 1 time around 1 circumference is 360 degrees.  Your amount of rotation given as 48 degrees, so the amount of arc is {{{(48/360)(2*pi*7)}}}, and you can simplify this without calculator if you want.


Similar for area.
{{{(48/360)(pi)7^2}}}, area of the sector.






{{{48/360=6/45=2/15}}}
This simplified factor and a bit of long division for doing without a calculator