Question

Find the length of the arc on a circle of radius r intercepted by a central angle θ. Round answer to two decimal places. r = 8 meters, θ = 50°

Answer 1

Length of arc = radius of circle multiply by the angle in radians.

Therefore, convert the angle first to radians through simple proportions.

180 degrees is equivalent to pi in radians
Therefore, \[50 degrees \rightarrow \frac{ \pi }{ 180 } \times 50 = 0.873\]

Therefore, \[Length of arc = 8 \times 0.873 = 6.98m\]

Answer 2

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Answer 3

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