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A circle has a radius of \blue{5}5start color #6495ed, 5, end color #6495ed. An arc in this circle has a central angle of 162^\circ162 ∘ 162, degrees. What is the length of the arc? Either enter an exact answer in terms of \piπpi or use 3.143.143, point, 14 for \piπpi and enter your answer as a decimal.

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Answer: 9/2Ï€

20 / 9 = 10π  s

20 /9  *10π= s

2 /9  π = s

abidemiokin

The length of an arc with radius 5 units and angle 162 degrees is 14.13 units

Length of an arc

The formula for calculating the length of an arc is expressed as:

L =rtheta

where:

  • r is the radius of the circle'
  • theta is the subtended angle in radians

Given the following

r = 5 units

theta = 162Ï€/180 = 9Ï€/10

Substitute

L = 5(9Ï€/10)

L = 4.5Ï€

L = 4.5(3.14)

L = 14.13 units

Hence the length of an arc with radius 5 units and angle 162 degrees is 14.13 units

Learn more on length of an arc here: https://brainly.com/question/8020286

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