Answer:
81%
Step-by-step explanation:
Answer:
S = R θ where θ is in radians
If θ = 2 pi then S = 2 pi R the circumference of the circle
θ = S / R = 9.7 / 9 = 1.08 rad
Since 1 rad = 360 / (2 pi) = 57.3 deg
the angle included = 1.08 rad * 57.3 deg/rad = 61.9 deg
The external angle (53°) is half the difference of the intercepted arcs (y°, 180°), so we have
53 = (180 - y)/2
106 = 180 - y
y = 180 - 106
y = 74
The appropriate choice for the value of y is ...
74
