# The diameter of a circle is 16 meters. What is the angle measure of an arc 6 meters long?

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###### Question:

The diameter of a circle is 16 meters. What is the angle measure of an arc 6 meters long?

## Answers

Answer:42.99° or approx 43°Step-by-step explanation:Diameter of circle d = 16 mLenght of arc l= 6 mLet the angle measure of the arc be [tex] \theta [/tex] By length of arc formula of a circle. [tex]l = \frac{ \theta}{360 \degree} \times\pi d \\ \\ 6 = \frac{ \theta}{360 \degree} \times 3.14 \times \: 16 \\ \\ \theta = \frac{6 \times 360 \degree}{3.14 \times 16} \\ \\ \theta = \frac{2160\degree}{50.24} \\ \\ \theta = 42.9936306 \degree \\ \\ \theta = 42.99 \degree \approx \: 43 \degree[/tex]

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