Fig shows a sector of a circle, centre O containing an angle θ.
Find the perimeter and area of the shaded region.
find i) perimeter = r (tan θ + sec θ + πθ/180 – 1)
ii)Area = r2/2(tan θ – πθ /180)
i need fully solved ..........hurry please....
tan theta =ab/oa
rtan theta =ab
arc length= pi*r*theta/180
cos theta=r/ob
ob=r/cos theta
bc =rsec theta-r
=r(sec theta-1)
perimeter=r tan theta +rsec theta -r +pi r theta/180
=r(tan theta+sec theta+pi theta/180-1)
hence proved.......:-)))
