arclength (s) = θ · radius(r) ; where "θ" is in radians
[tex]\frac{\pi}{180}[/tex] = [tex]\frac{θ}{108}[/tex]
108 π = 180(θ)
[tex]\frac{108}{180}[/tex]π = θ
[tex]\frac{3}{5}[/tex]π = θ
s = θ · r
= [tex]\frac{3}{5}[/tex]π · 48
= [tex]\frac{144}{5}[/tex]π
Answer: [tex]\frac{144}{5}[/tex]π inches
Area of circle = π · r²
Area of sector = [tex]\frac{108}{360}[/tex] · π · (48)²
= [tex]\frac{3}{10}[/tex] · π · 2304
= [tex]\frac{6912}{10}[/tex] · π
Answer: 691.2π in²
