ANSWER:
AC = ( 176 / 15 ) ( Pi )
The length of AC as an exact answer is eqivalent to:
( 176 / 15 ) ( Pi )
STEP-BY-STEP EXPLANATION:
Length of arc = 2( Pi )r × x / 360°
Where r = radius of circle
Where x = angle of sector in circle
FOR THIS PROBLEM -
Let the length of arc AC = AC
r = 16cm
x = 360° - ( 135° + 93° ) = 360° - 227° = 132°
THEREFORE:
AC = 2( Pi )( 16 ) × 132 / 360
AC = 32( Pi ) × 11 / 30
AC = [ ( 32 × 11 ) / 30 ] ( Pi )
AC = ( 352 / 30 ) ( Pi )
AC = ( 176 / 15 ) ( Pi )
