Answer: 244 degrees
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The formula we can use is
L = (a/360)*2*pi*r
where,
L = arc length
a = central angle in degrees
r = radius
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In this case, r = 34 and L = 145. We want to find the angle 'a'.
L = (a/360)*2*pi*r
145 = (a/360)*2*pi*34
145 = (a/360)*68pi
145*360 = a*68pi
52200 = a*68pi
a*68pi = 52200
a = 52200/(68pi)
a = 244.3496
a = 244
