Answer:
to find answers we first need the radius , in this case we find it using arc length
arc length = [tex]\frac{115}{360}*2\pi r[/tex]
18.07=[tex]\frac{115}{360}*2\pi r[/tex]
18.07=[tex]\frac{230\pi r}{360}[/tex]
18.07x360=[tex]230\pi r[/tex]
r=[tex]\frac{18.07*360}{230\pi }[/tex]
r=9cm
1) area of minor sector= [tex]\frac{115}{360}*\pi r^{2}[/tex]
=[tex]\frac{115}{360}*\pi* 9^{2}[/tex]
= 81.29[tex]cm^{2}[/tex]
2) perimeter of the circle is the same as its circumference which is [tex]2\pi r[/tex]
circumference=[tex]2\pi r[/tex]
= [tex]2*\pi *9[/tex]
=56.55cm
Step-by-step explanation:
