Given,
Perimeter of sector of circle = 272 m
Radius of sector = 5.7 m
Perimeter of sector = \(\frac{θ}{360}\times2πr + 2r\) = 27.2
= \(\frac{θ}{360}\times2πr\) = 27.2 - 11.4
= \(\frac{θ}{360}\) = \(\frac{15.8}{2πr}\) (Equation first)
Area of sector = \(\frac{θ}{360}\times2πr^2\) (Second equation)
Put value of \(\frac{θ}{360}\) from equation first to second,
= \(\frac{15.8}{2πr}\times2πr^2\)
= \(\frac{15.8\times5.7}{2}\)
= 45.03 cm2
