Respuesta :

answer: C) 130.8
explanation: first, find the circumference of the entire circle.
circumference = 2(pi)r
2(3.14)150 = 942
next, the easiest method is to divide by the 360° of the entire circle, and then multiply by the angle of the arc (in this case is 50°)
940 / 360 = 2.6166667
2.6166667 x 50 = 130.8333
rounding to the nearest tenth, you get 130.8
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Answer

Answer is C

Arc AB = 130.8997 ft
Explanation

When the central angle is given in degrees, the formula for the arc length is:


arc = 2πr(θ/360

arc = r·θ·pi/180

where:
s = the arc length
r = radius = 150 feet
θ = the central angle in degrees = 50°
pi = 3.14

By substitution,

The length of an arc = πrθ/180)

Length = 3.14 x 150 x 50/180

= 130.8997 ft.

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