Question

A circle with the circumference 10 has a arc with 160 degrees central angle.What is the length of the arc?

Answer 1

Answer:

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Answer 2

The final answer is 4.44

Step-by-step explanation:

$\ Given \ value:\\\\circumference = 10\\\\\theta = 160\\\\\ Find: \\\\\ length= ?\\\\\ Solution: \\\\ \ Formula:\\\\circumference = \frac{\theta}{360} \times 2\pi \ r\\\\\rightarrow circumference = \frac{160}{360} \times 2 \pi \ r\\\\\rightarrow circumference = \frac{16}{36} \times 10\\\\\rightarrow circumference = \frac{8}{18} \times 10\\\\\rightarrow circumference = \frac{4}{9} \times 10\\\\\rightarrow circumference = \frac{40}{9} \\\\\rightarrow circumference = 4.4444$

$\rightarrow circumference = 4.\overline{4} \ unit$

Learn more:

• Length of circle: https://brainly.in/question/3001013