Question

The measure of central angle XYZ is 1.25 pi radians.What is the area of the shaded sector?$0/2\pi (\pi r^2)$[tex]x/360(\pi r^2)10 units2 20 units240 units280 units2

Answer 1

Given :  The measure of central angle XYZ is 1.25πradians

To find : Area of the sector

Solution:

Area of Sector  =  ( sector angle in degrees / 360° ) π r²

r  = radius

or =   ( sector angle in radian  / 2π  ) π r²

sector angle = 1.25π

= (  1.25π / 2π)  π r²

=  (1.25/ 2)  π r²

r = 8

= (1.25/ 2)  π 8²

= 40 π

area of the shaded sector = 40 π  sq units

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