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38 votes
38 votes
What is the length of the arc that subtends a central angle of 139°, for a circle with a radius of 7.5 centimeters? Use 3.14 for π when necessary. A. 14.86 cmB. 18.19 cmC. 16.14 cmD. 12.36 cm

User Arets Paeglis
by
2.6k points

1 Answer

19 votes
19 votes

The answer is B. 18.19 cm

To solve this we need to use the formula for the arc lenght.

The formula is:


Arc=2\pi r((\theta)/(360))

Where θ is the angle of the arc in degrees.

Now:


\text{arc}=2\cdot3.14\cdot7.5\cdot((139º)/(360º))=18.1858\approx18.19\operatorname{cm}

Then, the answer is B.

User Amfasis
by
3.7k points
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