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find the length of Arc ABC using the given measure of Arc a b in a circle with a diameter of 9 ft round to the nearest hundredth M Arc a b equals 80°

User Nikravi
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Take into account that the length of arc can be calculate by the following formula:

s = r·θ

where r is the radius of the circle and θ is the angle (in radians) subtended by the length of the arc, related to the center of the circle.

In this case:

diameter = 9 ft

radius = diameter/2 = 9/2 ft = 4.5 ft

θ = 80°

to convert θ to radians, proceed as follow:

θ = 80°·π/180 = 1.40 radians

next, replace the values of r and θ to obtain s:

s = (4.5 ft)(1.40)

s = 6.283 ≈ 6.28 ft

Hence, the length of arc is 6.28 ft

User Iwalkbarefoot
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