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wolverine [178]
3 years ago
12

Determine the value of s , the arc length (measured in inches) cut off in a circle with a radius of 5.8 inches by an angle with

a measure of 5.4 radians
Mathematics
1 answer:
g100num [7]3 years ago
3 0
The arc length by definition is given by:
 S = R * Theta
 Where,
 R: radio
 Theta: central angle
 Substituting values we have:
 S = (5.8) * (5.4)
 S = 31.32 inches
 Answer:
 
The value of s, the arc length (measured in inches) is:
 
S = 31.32 inches
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Looking at the unit circle:
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-cot(70°) = -1/tan(70°) because of that reciprocal property from earlier
tan(70°) ≈ 2.75
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(of course, most calculators can handle tan(110°), but if you're using a trig chart it might not be on there. include whichever steps are necessary)

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