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Grade 11Trigonometry

The perimeter of a certain sector of a circle is equal to half that of the circle of which it is a sector. Find the circular measure of the angle of the sector. a. (π-2) radian b. (π+2) radian c. π radian d. (π-3) radian

Profile image of Rohan  Shorey
14 Years agoGrade 11
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1 Answer

Profile image of pankaj kumar raman
14 Years ago

perimeter of sector= 2r+ Θ/2∏ .2∏r

                           = 2r + Θr

 

perimeter of circle=2∏r = 2 .(2r+ Θr)

                         =∏=2+Θ

                         =>Θ=∏-2 ans.